What is \sqrt[5]{sqrt(144x^6)} ?

The solution to \sqrt[5]{sqrt(144x^6)} is \sqrt[5]{12}\sqrt[10]{x^6}

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simplify \sqrt[5]{sqrt(144x^6)}

simplify

Solution steps

Apply radical rule:

= ((144 x^{6})^{\frac{1}{2}})^{\frac{1}{5}}

Apply exponent rule:

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

assuming

a \geq 0

= (144 x^{6})^{\frac{1}{2} \cdot \frac{1}{5}}

\frac{1}{2} \cdot \frac{1}{5} = \frac{1}{10}

= (144 x^{6})^{\frac{1}{10}}

Apply radical rule:

assuming

a \geq 0, b \geq 0

(6 y^{3}) 42 y^{7}

\frac{( 36 - x ^{2} )}{( x + 3 )}

0.02 (5 \cdot 1 0^{- 1})

(x - 1) \cdot e^{- x}

x^{2} e^{- 4 x} d x

What is \sqrt[5]{sqrt(144x^6)} ?
The solution to \sqrt[5]{sqrt(144x^6)} is \sqrt[5]{12}\sqrt[10]{x^6}