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

Answer:

The correct answer is 64 times Geri’s original answer

Step-by-step 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

$\frac{C}{G} = \frac{2^9}{2^3}$

From law of indices, $\frac{a^m}{a^n} = a^{m-n}$

Applying this law, we have

$\frac{C}{G} = 2^{9-3}$

$\frac{C}{G} = 2^{6}$

$\frac{C}{G} = 2*2*2*2*2*2$

$\frac{C}{G} = 64$

Multiply both sides by G

$G * \frac{C}{G} = 64 * G$

$C = 64G$

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

Answer 2

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

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