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Popular >

simplify (-625)^{1/4}

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

(- 625)^{\frac{1}{4}} = (- 1)^{\frac{1}{4}} \cdot 62 5^{\frac{1}{4}}

= (- 1)^{\frac{1}{4}} \cdot 62 5^{\frac{1}{4}}

62 5^{\frac{1}{4}} = 5

= 5 (- 1)^{\frac{1}{4}}

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Frequently Asked Questions (FAQ)

What is (-625)^{1/4} ?
The solution to (-625)^{1/4} is 5(-1)^{1/4}