Question

Selena is simplifying the expression (6 h Superscript 5 Baseline) squared. She wrote (6 h Superscript 5 Baseline) squared = box h Superscript 10.
What number should Selena put in the box?
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Answer 1

Answer:

36

Step-by-step explanation:

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Answer 2

Answer:

36

Step-by-step explanation:

Selena wants to simplify:$(6h^5)^2$

She wrote: $(6h^5)^2=\boxed{.}h^{10}$

We want to determine what should be inside the box.

Using the index of an index law of indices: $(ab)^t=a^tb^t$

Therefore:

$(6h^5)^2=6^2h^{5\times 2}=\boxed{36}h^{10}$

Therefore, the number Selena should put in the box is 36.