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current objective simplify expressions with rational question simplify:…

Question

current objective
simplify expressions with rational

question
simplify: \\((64)^{\frac{3}{2}}\\).

provide your answer below:

Explanation:

Convert the rational exponent to a radical

$$ (64)^{\frac{3}{2}} = (\sqrt{64})^3 $$

Evaluate the square root

$$ \sqrt{64} = 8 $$

Calculate the cube of the result

$$ 8^3 = 512 $$

Answer:

Simplify: \((64)^{\frac{3}{2}}\).

Provide your answer below:
<blank>512</blank>