What is (\sqrt[5]{(81ab)^3})^3 ?

The solution to (\sqrt[5]{(81ab)^3})^3 is 729\sqrt[5]{9^3}\sqrt[5]{a^9}\sqrt[5]{b^9}

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simplify (\sqrt[5]{(81ab)^3})^3

simplify

Solution steps

Simplify

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

9^{3} = 729

= 729 \cdot 9^{\frac{3}{5}} a^{\frac{9}{5}} b^{\frac{9}{5}}

e^{- x} (\frac{1}{1 + e ^{x}})

(x^{2} - 17) e^{- x}

\frac{- 50}{10}

(4 x^{2}) (2 x^{2})

\frac{- 80}{- 16}

What is (\sqrt[5]{(81ab)^3})^3 ?
The solution to (\sqrt[5]{(81ab)^3})^3 is 729\sqrt[5]{9^3}\sqrt[5]{a^9}\sqrt[5]{b^9}