What is \sqrt[4]{sqrt(64x^6)} ?

The solution to \sqrt[4]{sqrt(64x^6)} is \sqrt[8]{64}\sqrt[8]{x^6}

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simplify \sqrt[4]{sqrt(64x^6)}

simplify

Solution steps

Apply radical rule:

= ((64 x^{6})^{\frac{1}{2}})^{\frac{1}{4}}

Apply exponent rule:

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

assuming

a \geq 0

= (64 x^{6})^{\frac{1}{2} \cdot \frac{1}{4}}

\frac{1}{2} \cdot \frac{1}{4} = \frac{1}{8}

= (64 x^{6})^{\frac{1}{8}}

Apply radical rule:

assuming

a \geq 0, b \geq 0

6 e^{- 5 x}

(0.2)^{1} \cdot Z^{- 1}

6.54 \cdot 1 0^{- 4}

(55.5) (1 e^{- 16})

What is \sqrt[4]{sqrt(64x^6)} ?
The solution to \sqrt[4]{sqrt(64x^6)} is \sqrt[8]{64}\sqrt[8]{x^6}