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Popular >

simplify (-36)^{5/2}

Solution

simplify

(- 36)^{\frac{5}{2}}

Solution

7776 i

Solution steps

(- 36)^{\frac{5}{2}}

Apply exponent rule:

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

(- 36)^{\frac{5}{2}} = ((- 36)^{\frac{1}{2}})^{5}

= ((- 36)^{\frac{1}{2}})^{5}

(- 36)^{\frac{1}{2}} = 36 i

= (36 i)^{5}

Simplify

(36 i)^{5} : 7776 i

= 7776 i

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Frequently Asked Questions (FAQ)

What is (-36)^{5/2} ?
The solution to (-36)^{5/2} is 7776i