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Popular >

simplify (-2-6)^{2/3}

Solution

simplify

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

Solution

4

Solution steps

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

Subtract the numbers:

- 2 - 6 = - 8

= (- 8)^{\frac{2}{3}}

Apply exponent rule:

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

(- 8)^{\frac{2}{3}} = (- 1)^{\frac{2}{3}} \cdot 8^{\frac{2}{3}}

= (- 1)^{\frac{2}{3}} \cdot 8^{\frac{2}{3}}

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

= 1 \cdot 8^{\frac{2}{3}}

8^{\frac{2}{3}} = 4

= 1 \cdot 4

Multiply the numbers:

1 \cdot 4 = 4

= 4

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Frequently Asked Questions (FAQ)

What is (-2-6)^{2/3} ?
The solution to (-2-6)^{2/3} is 4