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Popular >

simplify (-27)^{5/3}

Solution

simplify

(- 27)^{\frac{5}{3}}

Solution

- 243

Solution steps

(- 27)^{\frac{5}{3}}

Apply exponent rule:

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

(- 27)^{\frac{5}{3}} = (- 1)^{\frac{5}{3}} \cdot 2 7^{\frac{5}{3}}

= (- 1)^{\frac{5}{3}} \cdot 2 7^{\frac{5}{3}}

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

= - 1 \cdot 2 7^{\frac{5}{3}}

2 7^{\frac{5}{3}} = 243

= - 1 \cdot 243

Multiply the numbers:

1 \cdot 243 = 243

= - 243

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Frequently Asked Questions (FAQ)

What is (-27)^{5/3} ?
The solution to (-27)^{5/3} is -243