What is ((-5)/x)^2*((2x^4)/(y^3))2 ?

The solution to ((-5)/x)^2*((2x^4)/(y^3))2 is (100x^2)/(y^3)

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simplify ((-5)/x)^2*((2x^4)/(y^3))2

simplify

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

\frac{100 x ^{2}}{y ^{3}}

Solution steps

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

Apply rule:

(a) = a

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

= (\frac{- 5}{x})^{2} \frac{2 x ^{4}}{y ^{3}} \cdot 2

Simplify

(\frac{- 5}{x})^{2} : \frac{25}{x ^{2}}

= \frac{25}{x ^{2}} \cdot \frac{2 x ^{4}}{y ^{3}} \cdot 2

Apply the fraction rule:

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

= \frac{25 \cdot 2 x ^{4} \cdot 2}{x ^{2} y ^{3}}

Simplify

\frac{x ^{4}}{x ^{2}} : x^{2}

= \frac{25 \cdot 2 x ^{2} \cdot 2}{y ^{3}}

Multiply the numbers:

25 \cdot 2 \cdot 2 = 100

= \frac{100 x ^{2}}{y ^{3}}

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What is ((-5)/x)^2*((2x^4)/(y^3))2 ?
The solution to ((-5)/x)^2*((2x^4)/(y^3))2 is (100x^2)/(y^3)