What is \sqrt[5]{\sqrt[3]{9m}} ?

The solution to \sqrt[5]{\sqrt[3]{9m}} is \sqrt[15]{9}\sqrt[15]{m}

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simplify \sqrt[5]{\sqrt[3]{9m}}

simplify

Solution steps

Apply radical rule:

= ((9 m)^{\frac{1}{3}})^{\frac{1}{5}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= (9 m)^{\frac{1}{3} \cdot \frac{1}{5}}

\frac{1}{3} \cdot \frac{1}{5} = \frac{1}{15}

= (9 m)^{\frac{1}{15}}

Apply radical rule:

assuming

a \geq 0, b \geq 0

e^{- 2.17} (2.17)^{0}

(r - 4)^{2} (r - 5)^{2}

- \infty \cdot e^{- \frac{\infty}{4}}

34.416 e^{- 0.18}

What is \sqrt[5]{\sqrt[3]{9m}} ?
The solution to \sqrt[5]{\sqrt[3]{9m}} is \sqrt[15]{9}\sqrt[15]{m}