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Popular >

simplify (-4)^{3/2}

Solution

simplify

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

Solution

- 8 i

Solution steps

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

Apply exponent rule:

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

(- 4)^{\frac{3}{2}} = ((- 4)^{\frac{1}{2}})^{3}

= ((- 4)^{\frac{1}{2}})^{3}

(- 4)^{\frac{1}{2}} = 4 i

= (4 i)^{3}

Simplify

(4 i)^{3} : - 8 i

= - 8 i

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Frequently Asked Questions (FAQ)

What is (-4)^{3/2} ?
The solution to (-4)^{3/2} is -8i