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Popular >

simplify (-256)^{3/4}

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

(- 256)^{\frac{3}{4}} = (- 1)^{\frac{3}{4}} \cdot 25 6^{\frac{3}{4}}

= (- 1)^{\frac{3}{4}} \cdot 25 6^{\frac{3}{4}}

25 6^{\frac{3}{4}} = 64

= 64 (- 1)^{\frac{3}{4}}

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Frequently Asked Questions (FAQ)

What is (-256)^{3/4} ?
The solution to (-256)^{3/4} is 64(-1)^{3/4}