What is \sqrt[5]{sqrt(64pi^6)} ?

The solution to \sqrt[5]{sqrt(64pi^6)} is \sqrt[10]{64}\sqrt[10]{pi^6}

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simplify \sqrt[5]{sqrt(64pi^6)}

simplify

Decimal Notation

3.01236 \dots

Solution steps

Apply radical rule:

= ((64 π^{6})^{\frac{1}{2}})^{\frac{1}{5}}

Apply exponent rule:

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

= (64 π^{6})^{\frac{1}{2} \cdot \frac{1}{5}}

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

= (64 π^{6})^{\frac{1}{10}}

Apply radical rule:

assuming

a \geq 0, b \geq 0

(e)^{- 0.455 (5882.35294) (1 e - 4)}

e^{- (- x + 4)}

50 e^{- 10}

(3.98 1^{5}) (11 0^{- 3})

What is \sqrt[5]{sqrt(64pi^6)} ?
The solution to \sqrt[5]{sqrt(64pi^6)} is \sqrt[10]{64}\sqrt[10]{pi^6}