What is (4x^{-3}y^4)/(8x^2(y^{-3))^2} ?

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

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simplify (4x^{-3}y^4)/(8x^2(y^{-3))^2}

simplify

\frac{4 x ^{- 3} y ^{4}}{8 x ^{2} ( y ^{- 3} ) ^{2}}

\frac{y ^{10}}{2 x ^{5}}

Solution steps

\frac{4 x ^{- 3} y ^{4}}{8 x ^{2} ( y ^{- 3} ) ^{2}}

Simplify

(y^{- 3})^{2} : \frac{1}{y ^{6}}

= \frac{4 x ^{- 3} y ^{4}}{8 x ^{2} \frac{1}{y ^{6}}}

Factor the number:

8 = 4 \cdot 2

= \frac{4 x ^{- 3} y ^{4}}{4 \cdot 2 x ^{2} \frac{1}{y ^{6}}}

Cancel the common factor:

4

= \frac{x ^{- 3} y ^{4}}{2 x ^{2} \frac{1}{y ^{6}}}

Simplify

\frac{x ^{- 3}}{x ^{2}} : \frac{1}{x ^{5}}

= \frac{y ^{4}}{2 x ^{5} \frac{1}{y ^{6}}}

Simplify

\frac{y ^{4}}{2 x ^{5} \frac{1}{y ^{6}}} : \frac{y ^{10}}{2 x ^{5}}

= \frac{y ^{10}}{2 x ^{5}}

(x^{4})^{\frac{3}{2}}

(x - 5)^{2}

- 5 x^{- 2}

x^{2} - 45 x - 900 = 0

- 2 x^{2} + 2 x + 5 = 0

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