What is (\sqrt[7]{15xy})^3 ?

The solution to (\sqrt[7]{15xy})^3 is 15^{3/7}(xy)^{3/7}

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simplify (\sqrt[7]{15xy})^3

simplify

1 5^{\frac{3}{7}} (x y)^{\frac{3}{7}}

Solution steps

Apply radical rule:

= ((15 x y)^{\frac{1}{7}})^{3}

Apply exponent rule:

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

= (15 x y)^{\frac{1}{7} \cdot 3}

\frac{1}{7} \cdot 3 = \frac{3}{7}

= (15 x y)^{\frac{3}{7}}

Apply exponent rule:

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

= 1 5^{\frac{3}{7}} (x y)^{\frac{3}{7}}

31 e^{- 0.1 \cdot 0.5}

C e^{- 4 x^{3}}

(x^{2} + 1)^{3} (2 x + 1)^{3}

(3 - x) (x - 7)

(6 x^{2}) (5 x^{5})

What is (\sqrt[7]{15xy})^3 ?
The solution to (\sqrt[7]{15xy})^3 is 15^{3/7}(xy)^{3/7}