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Popular >

simplify (\sqrt[21]{2^3})^5

Solution

simplify

Solution

2^{\frac{5}{7}}

+1

Decimal Notation

1.64067 \dots

Solution steps

Apply radical rule:

= (2^{\frac{1}{7}})^{5}

Apply exponent rule:

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

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

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

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

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Frequently Asked Questions (FAQ)

What is (\sqrt[21]{2^3})^5 ?
The solution to (\sqrt[21]{2^3})^5 is 2^{5/7}