What is \sqrt[8]{2^{7sqrt(2)}} ?

The solution to \sqrt[8]{2^{7sqrt(2)}} is 2^{7/(4sqrt(2))}

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simplify \sqrt[8]{2^{7sqrt(2)}}

simplify

2^{\frac{7}{4 2}}

Decimal Notation

2.35779 \dots

Solution steps

Apply radical rule:

= (2^{72})^{\frac{1}{8}}

Apply exponent rule:

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

= 2^{72 \frac{1}{8}}

72 \frac{1}{8} = \frac{7}{4 2}

= 2^{\frac{7}{4 2}}

60 \cdot 2^{- 0.02 \cdot 545}

(1 + 2 x)^{- 4}

e^{- a t} sin (w) t u (t)

\frac{e ^{- 2 x}}{e ^{- (x^{2} + 1)}}

5 5^{2}

What is \sqrt[8]{2^{7sqrt(2)}} ?
The solution to \sqrt[8]{2^{7sqrt(2)}} is 2^{7/(4sqrt(2))}