What is \sqrt[4]{\sqrt[3]{64}} ?

The solution to \sqrt[4]{\sqrt[3]{64}} is square root of 2

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simplify \sqrt[4]{\sqrt[3]{64}}

simplify

2

Decimal Notation

1.41421 \dots

Solution steps

Apply radical rule:

= (6 4^{\frac{1}{3}})^{\frac{1}{4}}

Apply exponent rule:

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

= 6 4^{\frac{1}{3} \cdot \frac{1}{4}}

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

= 6 4^{\frac{1}{12}}

Factor the number:

64 = 2^{6}

Apply exponent rule:

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

= 2

x (\frac{2}{3} x^{2})

2^{2 x + 3} \cdot (e^{x - 1})^{3}

e u l e r^{4}

3583 e^{(- e^{(- 0.02 (50 - 66))})}

e^{3} \cdot ((e^{- (3 + j w) t}))

What is \sqrt[4]{\sqrt[3]{64}} ?
The solution to \sqrt[4]{\sqrt[3]{64}} is square root of 2