What is \sqrt[3]{\sqrt[7]{180x}} ?

The solution to \sqrt[3]{\sqrt[7]{180x}} is \sqrt[21]{180}\sqrt[21]{x}

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simplify \sqrt[3]{\sqrt[7]{180x}}

simplify

Solution steps

Apply radical rule:

= ((180 x)^{\frac{1}{7}})^{\frac{1}{3}}

Apply exponent rule:

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

assuming

a \geq 0

= (180 x)^{\frac{1}{7} \cdot \frac{1}{3}}

\frac{1}{7} \cdot \frac{1}{3} = \frac{1}{21}

= (180 x)^{\frac{1}{21}}

Apply radical rule:

assuming

a \geq 0, b \geq 0

1.965401545 \cdot 1 0^{- 3}

e^{- c o s (y)}

e^{x^{2} + y} \cdot 2 x \cdot x

(\frac{e ^{2 x}}{6}) e^{- x}

What is \sqrt[3]{\sqrt[7]{180x}} ?
The solution to \sqrt[3]{\sqrt[7]{180x}} is \sqrt[21]{180}\sqrt[21]{x}