Which expression is equivalent to 4^ 5x4^ -7÷4 ^-2?4^ -4

4^ 0

4^ 5÷4^9

(4^5)(4^-2)/4^-7

Answers

Answer 1

Answer:

The equivalent value of the exponential equation is A = 4⁰ = 1

What are the laws of exponents?

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

A = ( 4⁵ x 4⁻⁷ ) / ( 4⁻² )

Now , from the laws of exponents , we get

m⁻ᵃ = ( 1 / mᵃ )

So , A = ( 4⁵ x 4⁻⁷ ) x 4²

And , mᵃ×mᵇ = mᵃ⁺ᵇ

On further simplification , we get

A = 4⁵⁺²⁻⁷

A = 4⁰

A = 1

Hence , the exponential equation is solved

To learn more about exponents click :

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Answer 2

Answer:

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"Which equation has no solution?A. 4(x + 3) + 2x = 6(x + 2)B. 5 + 2(3 + 2x) = x + 3(x + 1)C. 5(x + 3) + x = 4(x + 3) + 3D. 4 + 6(2 + x) = 2(3x + 8)"

Please, I need help! a positive integer is subtracted from its square. The sum is 56. Write and solve a quadratic equation to find the number. Thank you!

Answers

Answer:

Step-by-step explanation:

x² − x = 56

x² − x − 56 = 0

(x − 8) (x + 7) = 0

x = -7 or 8

x is positive, so x = 8.

The table shows a relationship between and y-values.which statement describes the pattern created by the values?
» Each y value is determined by
multiplying each x value by 3, so the
pattern is multiplicative
» Each y value is determined by adding
4 to each x value, so the pattern is
additive
» Each y-value is determined by adding
2 to each value, so the pattern is
additive
» Each y value is determined by
multiplying each value by 2, so the
pattern is multiplicative
Done

Answers

Answer:

Do you mind giving a picture of the table?

Answer:your answer is Each y-value is determined by adding 4 to each x-value by so the pattern is addictive

Step-by-step explanation:

The difference of a number h and 8 is greater than 12 and less than 22

Answers

Answer:

12<|h-8|<22

Step-by-step explanation:

If H is 19 it will be the smallest number the variable H can possibly be to be greater than 12 less than 22 since that is equivalent to 10.

-sorry if wrong
Written by 7th grader

Need help ASAP if y’all could pls help me out that would be great

Answers

hi! here’s what i’d put for the sentences to fill in the blanks:

- 1 ten is equal to 10 ones. 1 ten is 10 times the value of 1 one.

- 1 hundred is equal to 10 tens. 1 hundred is 10 times the value of 1 ten.

- 1 thousand is equal to 10 hundreds. 1 thousand is 10 times the value of 1 hundred.

- 1 ten-thousand is equal to 10 thousands. 1 ten-thousand is 10 times the value of 1 thousand.

- 1 hundred-thousand is equal to 10 ten-thousands. 1 hundred-thousand is 10 times the value of 1 ten-thousand.

Place Value Chart:

blank space before 3 is 2

hope this helped!:)

2. Jack’s parents were planning a big birthday party for him. Answer the questions below. Show your work for all parts.a. His parents spent $4.49 on each of 6 goodie bags. How much did they spend on goodie bags?

b. They spent $150 to rent a bounce house for 8 hours. How much is the hourly rate for the rental?

c. If the parents spent a total of $400 on everything for the party, how much more did they spend in addition to what was spent in parts (a) and (b)?

Answers

A. Do 4.49 times 6 B. Do 150 divided by 8 C. I belive you add the answers for A and B and then subtract that from 400 and then that’s your answer for part C

Judging on the basis of experience, a politician claims that 57% of voters in a certain area have voted for an independent candidate in past elections. Suppose you surveyed 25 randomly selected people in that area, and 18 of them reported having voted for an independent candidate. The null hypothesis is that the overall proportion of voters in the area that have voted for an independent candidate is 57%. What value of the test statistic should you report?