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Popular >

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

Solution

simplify

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

Solution

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

+1

Solution steps

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

Apply exponent rule:

a^{m} b^{m} = (ab)^{m}

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

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

3 (- 6) = - 18

= (- 18)^{\frac{2}{3}}

Apply exponent rule:

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

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

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

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

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

Multiply:

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

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

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Frequently Asked Questions (FAQ)

What is 3^{2/3}(-6)^{2/3} ?
The solution to 3^{2/3}(-6)^{2/3} is 18^{2/3}