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QUESTION IMAGE

simplify. \\((2x^2)^4\\) write your answer without parentheses.

Question

simplify.

\\((2x^2)^4\\)

write your answer without parentheses.

Explanation:

Apply the power of a product rule

$$ (2x^2)^4 = 2^4 \cdot (x^2)^4 $$

Simplify the coefficient and variable terms

$$ 2^4 = 16 $$
$$ (x^2)^4 = x^{2 \cdot 4} = x^8 $$

Combine the simplified terms

$$ 16x^8 $$

Answer:

Simplify.
\( (2x^2)^4 \)

Write your answer without parentheses.
<blank>\(16x^8\)</blank>