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Popular >

simplify (-9)^{1/4}

Solution

simplify

(- 9)^{\frac{1}{4}}

Solution

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

Solution steps

(- 9)^{\frac{1}{4}}

Apply exponent rule:

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

(- 9)^{\frac{1}{4}} = (- 1)^{\frac{1}{4}} \cdot 9^{\frac{1}{4}}

= (- 1)^{\frac{1}{4}} \cdot 9^{\frac{1}{4}}

9^{\frac{1}{4}} = 3^{\frac{1}{2}}

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

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Frequently Asked Questions (FAQ)

What is (-9)^{1/4} ?
The solution to (-9)^{1/4} is (-1)^{1/4}*3^{1/2}