What is (8x)^{2/3}(27x)^{-1/3} ?

The solution to (8x)^{2/3}(27x)^{-1/3} is (4x^{1/3})/3

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simplify (8x)^{2/3}(27x)^{-1/3}

simplify

(8 x)^{\frac{2}{3}} (27 x)^{- \frac{1}{3}}

\frac{4 x ^{\frac{1}{3}}}{3}

Solution steps

(8 x)^{\frac{2}{3}} (27 x)^{- \frac{1}{3}}

Simplify

(8 x)^{\frac{2}{3}} : 4 x^{\frac{2}{3}}

= 4 x^{\frac{2}{3}} (27 x)^{- \frac{1}{3}}

Simplify

(27 x)^{- \frac{1}{3}} : \frac{1}{3 x ^{\frac{1}{3}}}

= 4 x^{\frac{2}{3}} \frac{1}{3 x ^{\frac{1}{3}}}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{4 x ^{\frac{2}{3}} \cdot 1}{3 x ^{\frac{1}{3}}}

Multiply the numbers:

4 \cdot 1 = 4

= \frac{4 x ^{\frac{2}{3}}}{3 x ^{\frac{1}{3}}}

Simplify

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

= \frac{4 x ^{\frac{1}{3}}}{3}

2 \cdot 1

(4 cos (t))^{2}

60 \cdot 7

\frac{1}{9 - x} + \frac{5 x}{x - 9}

\frac{1}{3} \times 1

What is (8x)^{2/3}(27x)^{-1/3} ?
The solution to (8x)^{2/3}(27x)^{-1/3} is (4x^{1/3})/3