What is ((x^2))/((y^3)*(x/y)^{-2)*y^{-1}} ?

The solution to ((x^2))/((y^3)*(x/y)^{-2)*y^{-1}} is (x^4)/(y^4)

Popular >

simplify ((x^2))/((y^3)(x/y)^{-2)y^{-1}}

simplify

\frac{( x ^{2} )}{( y ^{3} ) \cdot ( \frac{x}{y} ) ^{- 2} \cdot y ^{- 1}}

\frac{x ^{4}}{y ^{4}}

Solution steps

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

Apply rule:

(a) = a

(y^{3}) = y^{3}

= \frac{x ^{2}}{y ^{3} ( \frac{x}{y} ) ^{- 2} y ^{- 1}}

Simplify

y^{3} (\frac{x}{y})^{- 2} y^{- 1} : \frac{y ^{4}}{x ^{2}}

= \frac{x ^{2}}{\frac{y ^{4}}{x ^{2}}}

Apply the fraction rule:

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

= \frac{x ^{2} x ^{2}}{y ^{4}}

Simplify

x^{2} x^{2} : x^{4}

= \frac{x ^{4}}{y ^{4}}

\frac{1}{( \frac{a}{2} ) ^{2}} - \frac{1}{a ^{2}}

(3 t + 7) - 2 (6.3 t + 4)

x^{4} - 5 x^{2} - 14

2 - (x - 1)

f (a) = \frac{a ^{\frac{1}{3}} + 1}{a ^{\frac{1}{3}}}

What is ((x^2))/((y^3)*(x/y)^{-2)*y^{-1}} ?
The solution to ((x^2))/((y^3)*(x/y)^{-2)*y^{-1}} is (x^4)/(y^4)