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Question
current objective
simplify expressions with rational
question
simplify: \\((64)^{\frac{3}{2}}\\).
provide your answer below:
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
$$
8^3 = 512
$$
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Simplify: \((64)^{\frac{3}{2}}\).
Provide your answer below:
<blank>512</blank>