What is (\sqrt[7]{8x^2y})^5 ?

The solution to (\sqrt[7]{8x^2y})^5 is 8^{5/7}(x^2y)^{5/7}

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simplify (\sqrt[7]{8x^2y})^5

simplify

8^{\frac{5}{7}} (x^{2} y)^{\frac{5}{7}}

Solution steps

Apply radical rule:

= ((8 x^{2} y)^{\frac{1}{7}})^{5}

Apply exponent rule:

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

= (8 x^{2} y)^{\frac{1}{7} \cdot 5}

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

= (8 x^{2} y)^{\frac{5}{7}}

Apply exponent rule:

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

= 8^{\frac{5}{7}} (x^{2} y)^{\frac{5}{7}}

(1 - e^{- T}) Z^{- 1}

(4 a^{3} b) \cdot (3 b)

- y^{- 1} d y

0.0055 \cdot (41.7)^{- 0.47}

2250000 (1 + 0.06)^{- 7}

What is (\sqrt[7]{8x^2y})^5 ?
The solution to (\sqrt[7]{8x^2y})^5 is 8^{5/7}(x^2y)^{5/7}