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Question

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question

simplify: \\(\sqrt{z^{36}}\\).

provide your answer below:

Explanation:

Identify the radical expression

$$ \sqrt{z^{36}} $$

Apply the fractional exponent rule

$$ \sqrt[n]{a^m} = a^{\frac{m}{n}} $$
$$ \sqrt{z^{36}} = z^{\frac{36}{2}} $$

Simplify the exponent

$$ z^{\frac{36}{2}} = z^{18} $$

Answer:

Simplify: <blank>\(z^{18}\)</blank>.