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Popular >

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

Solution

simplify

Solution

22

+1

Decimal Notation

2.82842 \dots

Solution steps

= (2^{\frac{3}{4}})^{2}

Apply exponent rule:

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

= 2^{\frac{3}{4} \cdot 2}

\frac{3}{4} \cdot 2 = \frac{3}{2}

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

2^{\frac{3}{2}} = 22

= 22

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Frequently Asked Questions (FAQ)

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