Simplify.

8^15÷8^−3

Enter your answer as a number to a power, using the ^ symbol to indicate exponents. For example, to enter 4253, type it like this: 42^53

PLEASE THIS HAS TAKEN ME AN ENTIRE DAY I HAVE NO IDEA HOW TO DO THIS

Answers

Answer 1

Answer:

[tex]8^{18}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex] , then

[tex]8^{15}[/tex] ÷ [tex]8^{-3}[/tex]

= [tex]8^{(15-(-3))}[/tex]

= [tex]8^{(15+3)}[/tex]

= [tex]8^{18}[/tex]

Answer 2

The simplified form is 8^18

What are Exponents?

The exponent of a number shows how many times the number is multiplied by itself. For example, 2×2×2×2 can be written as 24, as 2 is multiplied by itself 4 times. Here, 2 is called the "base" and 4 is called the "exponent" or "power." In general, xn means that x is multiplied by itself for n times.

Properties of Exponents

The properties of exponents or laws of exponents are used to solve problems involving exponents. These properties are also considered as major exponents rules to be followed while solving exponents. The properties of exponents are mentioned below.

Law of Product: am × an = am+nLaw of Quotient: am/an = am-nLaw of Zero Exponent: a0 = 1Law of Negative Exponent: a-m = 1/amLaw of Power of a Power: (am)n = amnLaw of Power of a Product: (ab)m = ambmLaw of Power of a Quotient: (a/b)m = am/bm

Given:

8^15÷8^−3

Using

a^m / a^n = a^( m-n)

So,

8^15÷8^−3

=8^(15-(−3))

=8^(15 +3)

=8^18

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Related Questions

If A=2x+10 and B=2x+2 what is the measurement of A

Answers

Answer:

Answer:

28+66+86=180

180=180

Step-by-step explanation:

Since there is a triangle and the 3 measures from the angles we can find the value of x using the hint given that the sum of the interior angles must be 180°

Write the equation

\begin{gathered}x+(2x+10)+(3x+2)=180\\\end{gathered}

x+(2x+10)+(3x+2)=180

Simplify left side of the equation

\begin{gathered}6x+12=180\\\end{gathered}

6x+12=180

Solve equation for x

\begin{gathered}6x=180-12\\6x=168\\x=28\end{gathered}

6x=180−12

6x=168

x=28

Replace x into the 3 angles and find their respectives values

\begin{gathered}A=x\\A=28\\\\B=2x+10\\B=2*28+10\\B=56+10\\B=66\\\\C=3x+2\\C=84+2\\C=86\end{gathered}

A=x

A=28

B=2x+10

B=2∗28+10

B=56+10

B=66

C=3x+2

C=84+2

C=86

Check if the answers are correct

\begin{gathered}28+66+86=180\\180=180\end{gathered}

28+66+86=180

180=180

PLEASE MARK ME AS BRAINLIEST

Rename 3/4 and 9/10 using the least common denominator

Answers

See attached picture please

h(t)=6 for 7 ≤ t ≤ 8

please i’m really struggling with this :((

Answers

Answer:

thn 6<7<8 is your answer

4) Eric bought a canoe for $333.75. He bought a life vest for $134.87 and an ore paddle for $67.89
The sales tax was 5.25%. What was his total cost?

Answers

Answer:

His total cost is $564.68

Step-by-step explanation:

333.75 + 134.87 + 67.89 = 536.51

536.51 x 0.0525 = 28.17

536.51 + 28.17 = 564.68

Three bands and two comics are performing for a student talent show. How many different programs (in terms of order) can be arranged

Answers

The different programs (in terms of order) that can be arranged is 120 different ways

Since we are dealing with arrangements, this is a permutation problem.

If there are three bands and two comics performing at a show, the total band will be 5 bands

The number of different programs that can be arranged will be 5!

5! = 5 * 4 * 3 * 2

5! = 60 * 2

5! = 120 ways

Hence the different programs (in terms of order) that can be arranged is 120 different ways

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Please Help I will vote Brainliest!
Hank has read 25 percent of his book. If Hank has read 150 pages, which equation can be used to find the total number of pages in the book?
StartFraction 25 times 6 Over 100 times 6 EndFraction = StartFraction 150 Over 600 EndFraction
StartFraction 100 times 4 Over 25 times 4 EndFraction = StartFraction 400 Over 100 EndFraction
StartFraction 25 divided by 1 Over 150 divided by 1 EndFraction = StartFraction 25 Over 150 EndFraction
StartFraction 150 divided by 2 Over 100 divided by 2 EndFraction = StartFraction 75 Over 50 EndFraction

Answers

Answer:

x = 600 pages

Step-by-step explanation:

Let the total books pages be x

Given that

Hank had read = 25% of x

25% of x = 150

=>  

Multiplying both sides by 4

=> x = 150 * 4

=> x = 600 pages

Step-by-step explanation:

There you go.

Answer:

C

Step-by-step explanation:

Juno is taking a taxi. The table represents a linear function and shows the amount she owed after various numbers of miles traveled. Is the rate of change 2. 25? Amount Juno Owed for a Taxi Miles Amount Owed (dollars) 1 2. 5 2 2004. 75 3 7 4 9. 25 5 11. 5 Yes, because the amount owed changes by 1 every time the miles change by 2. 25. Yes, because the amount owed changes by 2. 25 every time the miles change by 1. No, because the amount owed does not change by 1 every time the miles change by 2. 25. No, because the amount owed does not change by 2. 25 every time the miles change by 1.

Answers

Linear functions are represented by constant rates.

The true statement is (d) No, because the amount owed does not change by 2.25 every time the miles change by 1.

From the table, we can see that:

As the number of miles increase by 1, the amount owed increases, but it does not increase at a constant rate of 2.25.

This means that, the table does not represent a linear function.

Represent the linear functions at:

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Find the equation of the line that has a slope
of -5 and passes through the point (-4, 2)
.Write the equation in point-slope form.

Answers

Answer:

y = -5x - 18

Step-by-step explanation:

you have your slope, just set x equal to -4 and your y to 2

2 = -5(-4) + b

2 = 20 + b

-18 =  b

A machine takes 15 minutes to scan 1,125 pages. At this rate, how many pages can the machine in a hour?

Answers

Answer:

4500 pages

Step-by-step explanation:

an hour has 60 minutes. This means in 1 hour the machine will scan 60/15 more pages. 60/15 =4.

1125*4 =4500 pages/hour

In one hour the machine will scan 4500 pages.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that a machine takes 15 minutes to scan 1,125 pages.

The machine takes 15 minutes to scan 1,125 pages.

Then, in 1 minute, it will scan (1125/15) = 75 pages.

So, in 1 hour, it will scan -

x = 75 x 60

x = 4500

Therefore, in one hour the machine will scan 4500 pages.

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How many floors have exactly 24 offices?

Answers

Answer:  2

=============================================================

Explanation:

Focus on the first row only. This involves the stem 2 and various leaves. The stem 2 refers to having a tens digit of 2. So it involves the numbers 20 through 29.

More narrowly, we're involving the values: 20, 22, 24, 24, 27, 29. Each value corresponds to exactly one leaf in that first row. For example, a stem of 2 and a leaf of 7 combine to form the number 27. Often, there will be a key at the bottom of the stem-and-leaf plot to indicate this in shorthand (eg: 2|7 means 27).

In that first row, we see the value 24 shows up twice. This means that there are 2 floors where there are 24 offices on those floors.

Can anybody help ASAP please?

Answers

Answer:

statement 1) similar because of the shape

theorem 2)n to m

b) statement 1)similar because of shape

2)the two are triangle but the position has been changed

What happens in the inequality when we multiply or divide by a negative number?

Answers

Answer:

The inequality flips.

It can go from

> to <

and vice versa

What is the slope of the line that passes through the points ( 5 , − 10 ) (5,−10) and ( 11 , − 12 ) ? (11,−12)? Write your answer in simplest form.

Answers

The slope of the line that passes through (5,−10) and ( 11 , − 12 ), in simplest form is: -1/3

Recall:

The slope of a line passing across through two points can be calculated using: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Given two points:

(5,−10) and ( 11 , − 12 )

Let,

[tex](5,-10) = (x_1, y_1)\\\\( 11 , - 12) = (x_2, y_2)[/tex]

Substitute

[tex]m = \frac{-12 - (-10)}{11 - 5}[/tex]

Slope (m) = -2/6

Slope (m) = -1/3

Therefore the slope of the line that passes through (5,−10) and ( 11 , − 12 ), in simplest form is: -1/3

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What is the image point of
(1,4)
(1,4) after a translation left 5 units and down 5 units?

Answers

Answer: (-4, -1)
When solving this equation I took the point given (1,4) and subtracted five units from one and five units from four. The reason being because they are asking you what the translation would be if 1 were to be moved 5 units the left causing it to be negative and moving 4, 5 units down causing it also to be negative because of its direction being moved.
Hope this helps!!
Please tell me if I have made a mistake, I enjoy learning from them:)

solve one step equation


-9x = 45

Answers

Answer:

x=-5

Step-by-step explanation:

45÷-9=-5

3927283+8093
Help pls

Answers

Answer: 3935376

Step-by-step explanation: 3927283+8093

3935376

The answer when added correctly is 3,935,376

the sum of -7x and 4x+2
pls help

Answers

I think it’s 8 sorry if the answer is wrong

Which are the intercepts of the equation y+2=4(x+1) ?

Answers

Answer:

y=2×5

Step-by-step explanation:

sorry if im wrong

It believe is Y=4x+2

Solve.

−1.3=x−(−13.2)

What is the solution to the equation?

Enter your answer in the box.

x =

Answers

x= -14.5

Step-by-step explanation:

-1.3=x-(-13.2)

the two - signs cross eachother out, making it a +.

making the equation -1.3=x-(-13.2) turn into -1.3=x+13.2.

so you should automatically know your x is going to have to be negative.

What I did:

13.2+1.3=14.5,

but since the 1.3 was actually negative, (-1.3) the 14.5 will turn negative, making it -14.5

is this correct ? if not what’s the correct answer?

Answers

Answer:

YES 68 is the correct answer

If b² = 25, then b =____

Answers

Answer:

5

Step-by-step explanation:

b^2= (5)^2 = 25

So.... b=5 or -5

The answer is 5. 5^2= 25.

Determine the graph of the equation 16^2 + 16^2 − 16 + 24 − 61 = 0.

Answers

Answer:

Enter a problem...

Precalculus Examples

Popular Problems Precalculus Find the Properties 16x^2+16y^2-16x+24y-3=0

16

x

2

+

16

y

2

16

x

+

24

y

3

=

0

Add

3

to both sides of the equation.

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x

2

+

16

y

2

16

x

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24

y

=

3

Divide both sides of the equation by

16

.

x

2

+

y

2

x

+

3

y

2

=

3

16

Complete the square for

x

2

x

.

Tap for more steps...

(

x

1

2

)

2

1

4

Substitute

(

x

1

2

)

2

1

4

for

x

2

x

in the equation

x

2

+

y

2

x

+

3

y

2

=

3

16

.

(

x

1

2

)

2

1

4

+

y

2

+

3

y

2

=

3

16

Move

1

4

to the right side of the equation by adding

1

4

to both sides.

(

x

1

2

)

2

+

y

2

+

3

y

2

=

3

16

+

1

4

Complete the square for

y

2

+

3

y

2

.

Tap for more steps...

(

y

+

3

4

)

2

9

16

Substitute

(

y

+

3

4

)

2

9

16

for

y

2

+

3

y

2

in the equation

x

2

+

y

2

x

+

3

y

2

=

3

16

.

(

x

1

2

)

2

+

(

y

+

3

4

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2

9

16

=

3

16

+

1

4

Move

9

16

to the right side of the equation by adding

9

16

to both sides.

(

x

1

2

)

2

+

(

y

+

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4

)

2

=

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16

+

1

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+

9

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Simplify

3

16

+

1

4

+

9

16

.

Tap for more steps...

(

x

1

2

)

2

+

(

y

+

3

4

)

2

=

1

This is the form of a circle. Use this form to determine the center and radius of the circle.

(

x

h

)

2

+

(

y

k

)

2

=

r

2

Match the values in this circle to those of the standard form. The variable

r

represents the radius of the circle,

h

represents the x-offset from the origin, and

k

represents the y-offset from origin.

r

=

1

h

=

1

2

k

=

3

4

The center of the circle is found at

(

h

,

k

)

.

Center:

(

1

2

,

3

4

)

These values represent the important values for graphing and analyzing a circle.

Center:

(

1

2

,

3

4

)

Radius:

1

image of graph

Allen is showing his work in simplifying −8.3 + 9.2 − 4.4 + 3.7. Identify any errors in his work or in his reasoning.


Step Work Reasoning
−8.3 + 9.2 − 4.4 + 3.7 Original problem
1 −8.3 + 9.2 + 4.4 + 3.7 Additive inverse
2 −8.3 + 4.4 + 9.2 + 3.7 Commutative property
3 −8.3 + (4.4 + 9.2 + 3.7) Associative property
4 −8.3 + 17.3 Simplify
5 9 Simplify
He did not make any errors.
Step 1: He wrote −4.4 incorrectly as + 4.4.
Step 2: He identified changing the order of the numbers as the commutative property, which is incorrect.
Step 3: He identified changing the grouping of the numbers as the associative property, which is incorrect.

Answers

Step-by-step explanation: First, you use the PEMDAS method which is parenthese, exponent, multiplication division, addition and subtraction.

So,  there is parenthese, exponent, multiplaction or division.

Now, first you add -8.3 + 9.2= 0.9, then subtract 0.9 by 4.4= -3.5, now add -3.5 + 3.7= 0.2

Use the original problem and use the PEMDAS method.

Hope this helps!!

The graph of a proportional relationship passes through the given point and (1, y). Find y.
Given point: (19, 342)

Answers

Answer: 4/3

Step-by-step explanation:

r÷st r = 180, s = 5, t = 4

Answers

Answer:

[tex]r \div st \\ \\ 180 \div 5 \times 4 \\ \\ 180 \div 20 \\ = 9[/tex]

Step by step solution:

r ÷ st 180 ÷ 5 × 4180 ÷ 209

A pet store holds training classes for dogs. The store has two different training programs. The first program charges a $35 membership fee and $5 for each class. The second program does not have a membership fee, but charges $10 for each class. For how many classes will the programs cost the same? If the variable c represents the number of classes, what is the other variable for the scenario? d, representing the number of dogs in each class h, representing the number of hours p, representing the number of programs t, representing the total cost.

Answers

Answer:

7?

Step-by-step explanation:

The programs cost the same for 7 classes.

Given, no. of classes is represented by c, no. of dogs is represented by d, no. of hours is represented by h, the no. of programs is represented by p and the total cost is represented by t.

The first program charges $35 membership fee and $5 for each class.

The second program charges only $10 for each class.

Now the total cost say [tex]t_{1}[/tex], for first program can be written in equation form as,

[tex]t_{1} =35+5c[/tex],  here c is the no. of classes.

Similarly, the total cost say [tex]t_{2}[/tex] , for second program can be written in equation form as,

[tex]t_{2} =10c[/tex].

We have to find out the no. of classes for which the two programs cost the same.

according to the question,

[tex]t_{1} =t_{2}[/tex]

[tex]35+5c=10c\\10c-5c=35\\5c=35\\c=7[/tex]

Hence for 7 of classes the programs cost the same.

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https://brainly.com/question/4042361

Como se faz o cálculo 13÷5,2

Answers

a resposta para a sua pergunta é 2.5 esperança que ajuda por favor marcar como mais inteligente se correto obrigado

Marvin sells prawns at $12 per kg. How much money will Marvin receive from selling 30 kg of prawns?

Answers

Answer: Start off and multiply 12x30=360

Step-by-step explanation: He will recieve 360$

Please find the surface area of the prism... I will mark you brainliest

Answers

Answer: 1618 cm^2

The formula to find surface area of a cuboid is 2(ab + bc + ca)

2(19*3.5 + 3.5*33 + 33*19)

--> 1618

indentify the range, y=2x + 6

Answers

Because
x
can take any value, the Domain of this equation is the set of all Real Numbers:
{
R
}

Because this is a simple linear transformation, the Range of this equation is also the set of all Real Numbers:
{
R
}
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