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Popular >

simplify (-243)^{2/5}

Solution

simplify

(- 243)^{\frac{2}{5}}

Solution

9

Solution steps

(- 243)^{\frac{2}{5}}

Apply exponent rule:

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

(- 243)^{\frac{2}{5}} = (- 1)^{\frac{2}{5}} \cdot 24 3^{\frac{2}{5}}

= (- 1)^{\frac{2}{5}} \cdot 24 3^{\frac{2}{5}}

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

= 1 \cdot 24 3^{\frac{2}{5}}

24 3^{\frac{2}{5}} = 9

= 1 \cdot 9

Multiply the numbers:

1 \cdot 9 = 9

= 9

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Frequently Asked Questions (FAQ)

What is (-243)^{2/5} ?
The solution to (-243)^{2/5} is 9