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Popular >

simplify (-243)^{3/5}

Solution

simplify

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

Solution

- 27

Solution steps

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

Apply exponent rule:

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

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

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

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

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

24 3^{\frac{3}{5}} = 27

= - 1 \cdot 27

Multiply the numbers:

1 \cdot 27 = 27

= - 27

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Frequently Asked Questions (FAQ)

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