What is (\sqrt[11]{6x^8y})^5 ?

The solution to (\sqrt[11]{6x^8y})^5 is 6^{5/11}(x^8y)^{5/11}

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simplify (\sqrt[11]{6x^8y})^5

simplify

6^{\frac{5}{11}} (x^{8} y)^{\frac{5}{11}}

Solution steps

Apply radical rule:

= ((6 x^{8} y)^{\frac{1}{11}})^{5}

Apply exponent rule:

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

= (6 x^{8} y)^{\frac{1}{11} \cdot 5}

\frac{1}{11} \cdot 5 = \frac{5}{11}

= (6 x^{8} y)^{\frac{5}{11}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= 6^{\frac{5}{11}} (x^{8} y)^{\frac{5}{11}}

e^{- a t} cos (w) t

((10 e^{5}) e^{6}) e^{2}

0.455 \cdot 1 0^{- 2}

0.3 \cdot 1 0^{- 12}

(6.8) (4 \cdot 1 0^{- 6})

What is (\sqrt[11]{6x^8y})^5 ?
The solution to (\sqrt[11]{6x^8y})^5 is 6^{5/11}(x^8y)^{5/11}