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algebra junior

Problem

Evaluate

(64)^{9}

.

Solution — click to reveal

We have

(64)^{9} = (4^{1/6})^{9} = 4^{\frac{1}{6} \cdot 9} = 4^{3/2} = (4^{1/2})^{3} = 2^{3} = 8 .

Final answer

8

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