What is \sqrt[3]{8a^6b^{-3}} ?

The solution to \sqrt[3]{8a^6b^{-3}} is (2a^2)/b

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simplify \sqrt[3]{8a^6b^{-3}}

simplify

\frac{2 a ^{2}}{b}

Solution steps

Simplify

= 2 a^{2} \frac{1}{b}

Apply the fraction rule:

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

= \frac{2 a ^{2} \cdot 1}{b}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{2 a ^{2}}{b}

100 x^{36}

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