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Popular >

simplify (\sqrt[7]{17})^6

Solution

simplify

Solution

1 7^{\frac{6}{7}}

+1

Decimal Notation

11.34150 \dots

Solution steps

Apply radical rule:

= (1 7^{\frac{1}{7}})^{6}

Apply exponent rule:

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

= 1 7^{\frac{1}{7} \cdot 6}

\frac{1}{7} \cdot 6 = \frac{6}{7}

= 1 7^{\frac{6}{7}}

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Frequently Asked Questions (FAQ)

What is (\sqrt[7]{17})^6 ?
The solution to (\sqrt[7]{17})^6 is 17^{6/7}