Question

Geri believed the answer to one of her homework problems was 2 cubed. After checking her work, she realized the correct answer was 2 Superscript 9. How do these two answers compare? The correct answer is 3 times Geri’s original answer. The correct answer is 6 times Geri’s original answer. The correct answer is 9 times Geri’s original answer. The correct answer is 64 times Geri’s original answer.

Answer 1

D) The correct answer is 64 times Geri’s original answer.

I just took the quiz on edge

Answer 2

The correct answer is 64 times Geri’s original answer

Explanation:

Given

Gari's Answer: 2³

Correct Answer: 2⁹

Required:

Relationship between both answers

Let Gari's answer be represented by G and the Correct answer be represented by C; Such that

G = 2³

C = 2⁹

Divide C by G

`(C)/(G) = (2^9)/(2^3)`

From law of indices,
`(a^m)/(a^n) = a^(m-n)`

Applying this law, we have

`(C)/(G) = 2^(9-3)`

`(C)/(G) = 2^(6)`

`(C)/(G) = 2*2*2*2*2*2`

`(C)/(G) = 64`

Multiply both sides by G

`G * (C)/(G) = 64 * G`

`C = 64G`

Hence, we can conclude that the correct answer is 64 times Geri’s original answer