Task 1: Henry explains why $$ 4^{\frac{3}{2}}=8 $$ : know that $$ 4^{3} $$ is 64 and the square root of 64 is 8 . Here is Henrietta's explanation for why $$ 4^{\frac{3}{2}}=8 $$ : know that $$ \sqrt{4}=2 $$ and the cube of 2 is 8 . a. Are Henry and Henrietta correct? Explain.

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To determine if Henry and Henrietta are correct in their explanations for why $$ 4^{\frac{3}{2}} = 8 $$, let's analyze their explanations step by step.

Henry's Explanation:
1. Henry states that $$ 4^{3} = 64 $$.
2. He then claims that the square root of 64 is 8.

Henrietta's Explanation:
1. Henrietta states that $$ \sqrt{4} = 2 $$.
2. She then claims that the cube of 2 is 8.

Let's evaluate their explanations:

1. Henry's Explanation:
   - $$ 4^{3} = 64 $$ is correct.
   - The square root of 64 is indeed 8, as $$ \sqrt{64} = 8 $$.
   - Therefore, Henry's explanation is correct.

2. Henrietta's Explanation:
   - $$ \sqrt{4} = 2 $$ is correct.
   - The cube of 2 is indeed 8, as $$ 2^{3} = 8 $$.
   - Therefore, Henrietta's explanation is also correct.

In conclusion, both Henry and Henrietta are correct in their explanations for why $$ 4^{\frac{3}{2}} = 8 $$.
Both Henry and Henrietta are correct in their explanations for $$ 4^{\frac{3}{2}} = 8 $$.

Task 1:
Henry explains why :
know that is 64 and the square root of 64 is 8 .
Here is Henrietta’s explanation for why :
know that and the cube of 2 is 8 .
a. Are Henry and Henrietta correct? Explain.

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Task 1: Henry explains why : know that is 64 and the square root of 64 is 8 . Here is Henrietta’s explanation for why : know that and the cube of 2 is 8 . a. Are Henry and Henrietta correct? Explain.