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Popular >

simplify (-125)^{4/3}

Solution

simplify

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

Solution

625

Solution steps

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

Apply exponent rule:

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

(- 125)^{\frac{4}{3}} = (- 1)^{\frac{4}{3}} \cdot 12 5^{\frac{4}{3}}

= (- 1)^{\frac{4}{3}} \cdot 12 5^{\frac{4}{3}}

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

= 1 \cdot 12 5^{\frac{4}{3}}

12 5^{\frac{4}{3}} = 625

= 1 \cdot 625

Multiply the numbers:

1 \cdot 625 = 625

= 625

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Frequently Asked Questions (FAQ)

What is (-125)^{4/3} ?
The solution to (-125)^{4/3} is 625