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Popular >

simplify (-216)^{2/3}

Solution

simplify

(- 216)^{\frac{2}{3}}

Solution

36

Solution steps

(- 216)^{\frac{2}{3}}

Apply exponent rule:

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

(- 216)^{\frac{2}{3}} = (- 1)^{\frac{2}{3}} \cdot 21 6^{\frac{2}{3}}

= (- 1)^{\frac{2}{3}} \cdot 21 6^{\frac{2}{3}}

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

= 1 \cdot 21 6^{\frac{2}{3}}

21 6^{\frac{2}{3}} = 36

= 1 \cdot 36

Multiply the numbers:

1 \cdot 36 = 36

= 36

Popular Examples

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simplify 10^{-3.3}simplify

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factor 12x^2-56x+9 factor

12 x^{2} - 56 x + 9

simplify x^{1/2}*x^{2/3}simplify

x^{\frac{1}{2}} \cdot x^{\frac{2}{3}}

Frequently Asked Questions (FAQ)

What is (-216)^{2/3} ?
The solution to (-216)^{2/3} is 36