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Popular >

simplify \sqrt[11]{5^6}^6

Solution

simplify

Solution

125 \cdot 5^{\frac{3}{11}}

+1

Decimal Notation

193.88231 \dots

Solution steps

= (5^{\frac{6}{11}})^{6}

Apply exponent rule:

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

= 5^{\frac{6}{11} \cdot 6}

\frac{6}{11} \cdot 6 = \frac{36}{11}

= 5^{\frac{36}{11}}

5^{\frac{36}{11}} = 5^{3} \cdot 5^{\frac{3}{11}}

= 5^{3} \cdot 5^{\frac{3}{11}}

5^{3} = 125

= 125 \cdot 5^{\frac{3}{11}}

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Frequently Asked Questions (FAQ)

What is \sqrt[11]{5^6}^6 ?
The solution to \sqrt[11]{5^6}^6 is 125*5^{3/11}