Question

Evaluate 64 to the power of 2/3

Answer 1

16

Explanation:

Using the rule of exponents/ radicals

`a^{(m)/(n) }` =
`(\sqrt[n]{a}) ^(m)` , then

`64^{(2)/(3) }` =
`(\sqrt[3]{64}) ^(2)` = 4² = 16

Answer 2

`16`

Explanation:

`{64}^{ (2)/(3) } \\ {2}^{6 * (2)/(3) } \\ {2}^{ (12)/(3) } \\ {2}^(4) \\ = 16`

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