What is ((x^{-4})/(y^{-3)})^2(y/x)^6 ?

The solution to ((x^{-4})/(y^{-3)})^2(y/x)^6 is (y^{12})/(x^{14)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((x^{-4})/(y^{-3)})^2(y/x)^6

simplify

(\frac{x ^{- 4}}{y ^{- 3}})^{2} (\frac{y}{x})^{6}

\frac{y ^{12}}{x ^{14}}

Solution steps

(\frac{x ^{- 4}}{y ^{- 3}})^{2} (\frac{y}{x})^{6}

Simplify

(\frac{x ^{- 4}}{y ^{- 3}})^{2} : \frac{y ^{6}}{x ^{8}}

= \frac{y ^{6}}{x ^{8}} (\frac{y}{x})^{6}

Apply exponent rule:

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

(\frac{y}{x})^{6} = \frac{y ^{6}}{x ^{6}}

= \frac{y ^{6}}{x ^{8}} \cdot \frac{y ^{6}}{x ^{6}}

Apply the fraction rule:

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

= \frac{y ^{6} y ^{6}}{x ^{8} x ^{6}}

Simplify

y^{6} y^{6} : y^{12}

= \frac{y ^{12}}{x ^{8} x ^{6}}

Simplify

x^{8} x^{6} : x^{14}

= \frac{y ^{12}}{x ^{14}}

(m^{2})^{- 1}

\frac{( 10 x )}{3}

x^{4} + 6 x^{3} + 6 x^{2} + 6 x + 5

5 c^{2} + 5 c^{1}

(\frac{x + 1}{x})^{2}

What is ((x^{-4})/(y^{-3)})^2(y/x)^6 ?
The solution to ((x^{-4})/(y^{-3)})^2(y/x)^6 is (y^{12})/(x^{14)}