simplify (xy)^{-2}

Solution

simplify

(x y)^{- 2}

\frac{1}{x ^{2} y ^{2}}

Solution steps

(x y)^{- 2}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

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

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(x y)^{2} = x^{2} y^{2}

= \frac{1}{x ^{2} y ^{2}}

\frac{x ^{- 7}}{x ^{- 9}}

\frac{10 b ^{6}}{( 5 b ^{3} ) ^{3}}

\frac{3}{4} m + 5 = 2

10 x^{2} = 8 x

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