What is \sqrt[4]{\sqrt[3]{625}} ?

The solution to \sqrt[4]{\sqrt[3]{625}} is cube root of 5

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simplify \sqrt[4]{\sqrt[3]{625}}

simplify

Decimal Notation

1.70997 \dots

Solution steps

Apply radical rule:

= 5^{\frac{1}{4}} \cdot 5^{\frac{1}{12}}

Apply exponent rule:

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

5^{\frac{1}{4}} \cdot 5^{\frac{1}{12}} = 5^{\frac{1}{4} + \frac{1}{12}}

= 5^{\frac{1}{4} + \frac{1}{12}}

\frac{1}{4} + \frac{1}{12} = \frac{1}{3}

= 5^{\frac{1}{3}}

Apply exponent rule:

\frac{d}{d x} (5 x - 4 y)

0.04 \cdot 1 0^{- 6}

\frac{1}{3} π a^{2} (1.18 a)

2 (2 x) (5 y)

4 t e^{- t}

What is \sqrt[4]{\sqrt[3]{625}} ?
The solution to \sqrt[4]{\sqrt[3]{625}} is cube root of 5