What is x^5y(2x^{-5}y^4)^3 ?

The solution to x^5y(2x^{-5}y^4)^3 is (8y^{13})/(x^{10)}

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simplify x^5y(2x^{-5}y^4)^3

simplify

x^{5} y (2 x^{- 5} y^{4})^{3}

\frac{8 y ^{13}}{x ^{10}}

Solution steps

x^{5} y (2 x^{- 5} y^{4})^{3}

Simplify

(2 x^{- 5} y^{4})^{3} : \frac{8 y ^{12}}{x ^{15}}

= x^{5} y \frac{8 y ^{12}}{x ^{15}}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{x ^{5} y \cdot 8 y ^{12}}{x ^{15}}

Simplify

\frac{x ^{5}}{x ^{15}} : \frac{1}{x ^{10}}

= \frac{y \cdot 8 y ^{12}}{x ^{10}}

Simplify

y y^{12} : y^{13}

= \frac{y ^{13} \cdot 8}{x ^{10}}

= \frac{8 y ^{13}}{x ^{10}}

\frac{5}{7} + \frac{1}{2}

3 y^{2} + 13 y + 4

(2 i)^{7} \cdot (- 5 i^{9})^{2}

3 + - 4

9 x^{2} + 36 x + 32

What is x^5y(2x^{-5}y^4)^3 ?
The solution to x^5y(2x^{-5}y^4)^3 is (8y^{13})/(x^{10)}