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Popular >

simplify (\sqrt[10]{5})^7

Solution

simplify

Solution

5^{\frac{7}{10}}

+1

Decimal Notation

3.08516 \dots

Solution steps

Apply radical rule:

= (5^{\frac{1}{10}})^{7}

Apply exponent rule:

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

= 5^{\frac{1}{10} \cdot 7}

\frac{1}{10} \cdot 7 = \frac{7}{10}

= 5^{\frac{7}{10}}

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Frequently Asked Questions (FAQ)

What is (\sqrt[10]{5})^7 ?
The solution to (\sqrt[10]{5})^7 is 5^{7/10}