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# How do you simplify 64^(1/3)?

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22
Oct 13, 2016

The exponent 1/3 means the third root. so the answer is 4
4 x 4 x 4 = 64

#### Explanation:

The fractional exponent is a root ${64}^{\frac{1}{2}}$ = 8
because $8 \times 8$ =64

The fractional exponent is a root ${64}^{\frac{1}{3}}$ = 4

because 4 x 4 x 4 = 64

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6
Oct 13, 2016

4

#### Explanation:

4x4x4=64
64^1/3 = (4x4x4)^1/3 = 4

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