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Popular >

simplify (-81)^{3/4}

Solution

simplify

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

Solution

27 (- 1)^{\frac{3}{4}}

Solution steps

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

Apply exponent rule:

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

(- 81)^{\frac{3}{4}} = (- 1)^{\frac{3}{4}} \cdot 8 1^{\frac{3}{4}}

= (- 1)^{\frac{3}{4}} \cdot 8 1^{\frac{3}{4}}

8 1^{\frac{3}{4}} = 27

= 27 (- 1)^{\frac{3}{4}}

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Frequently Asked Questions (FAQ)

What is (-81)^{3/4} ?
The solution to (-81)^{3/4} is 27(-1)^{3/4}