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Popular >

simplify (-3)^{6/5}

Solution

simplify

(- 3)^{\frac{6}{5}}

Solution

3 \cdot 3^{\frac{1}{5}}

+1

Decimal Notation

3.73719 \dots

Solution steps

(- 3)^{\frac{6}{5}}

Apply exponent rule:

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

(- 3)^{\frac{6}{5}} = (- 1)^{\frac{6}{5}} \cdot 3^{\frac{6}{5}}

= (- 1)^{\frac{6}{5}} \cdot 3^{\frac{6}{5}}

(- 1)^{\frac{6}{5}} = 1

= 1 \cdot 3^{\frac{6}{5}}

3^{\frac{6}{5}} = 3 \cdot 3^{\frac{1}{5}}

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

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Frequently Asked Questions (FAQ)

What is (-3)^{6/5} ?
The solution to (-3)^{6/5} is 3*3^{1/5}