What is (sqrt(\sqrt[3]{2)})^4 ?

The solution to (sqrt(\sqrt[3]{2)})^4 is cube root of 2^2

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simplify (sqrt(\sqrt[3]{2)})^4

simplify

Decimal Notation

1.58740 \dots

Solution steps

Rewrite

4

2 \cdot 2

Apply exponent rule:

a^{b c} = (a^{b})^{c}, a \geq 0

Apply exponent rule:

Apply radical rule:

= (2^{\frac{1}{3}})^{2}

Apply exponent rule:

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

= 2^{\frac{1}{3} \cdot 2}

\frac{1}{3} \cdot 2 = \frac{2}{3}

= 2^{\frac{2}{3}}

\frac{5 ^{8}}{6 ^{8}}

(5)^{7}

3.2 x 1 0^{- 3}

(5)^{n}

2 (22)

What is (sqrt(\sqrt[3]{2)})^4 ?
The solution to (sqrt(\sqrt[3]{2)})^4 is cube root of 2^2