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Popular >

simplify (-64)^{3/2}

Solution

simplify

(- 64)^{\frac{3}{2}}

Solution

- 512 i

Solution steps

(- 64)^{\frac{3}{2}}

Apply exponent rule:

a^{\frac{m}{n}} = (a^{\frac{1}{n}})^{m}

(- 64)^{\frac{3}{2}} = ((- 64)^{\frac{1}{2}})^{3}

= ((- 64)^{\frac{1}{2}})^{3}

(- 64)^{\frac{1}{2}} = 64 i

= (64 i)^{3}

Simplify

(64 i)^{3} : - 512 i

= - 512 i

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Frequently Asked Questions (FAQ)

What is (-64)^{3/2} ?
The solution to (-64)^{3/2} is -512i