What is \sqrt[5]{\sqrt[7]{2^{12}}} ?

The solution to \sqrt[5]{\sqrt[7]{2^{12}}} is \sqrt[35]{2^{12}}

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simplify \sqrt[5]{\sqrt[7]{2^{12}}}

simplify

Decimal Notation

1.26826 \dots

Solution steps

Apply radical rule:

= 2^{\frac{1}{5}} \cdot 2^{\frac{1}{7}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

2^{\frac{1}{5}} \cdot 2^{\frac{1}{7}} = 2^{\frac{1}{5} + \frac{1}{7}}

= 2^{\frac{1}{5} + \frac{1}{7}}

\frac{1}{5} + \frac{1}{7} = \frac{12}{35}

= 2^{\frac{12}{35}}

5.99 \cdot 1 0^{- 6}

101.3 e^{(- 0.00015 \cdot 4302)}

25 e^{- 1}

What is \sqrt[5]{\sqrt[7]{2^{12}}} ?
The solution to \sqrt[5]{\sqrt[7]{2^{12}}} is \sqrt[35]{2^{12}}