simplify (xy)^{-3}

Solution

simplify

(x y)^{- 3}

\frac{1}{x ^{3} y ^{3}}

Solution steps

(x y)^{- 3}

Apply exponent rule:

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

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

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

Apply exponent rule:

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

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

= \frac{1}{x ^{3} y ^{3}}

\frac{- 9 + 5 i}{- 7 - 6 i}

- 1 - 3 i

3^{4 x}

(\frac{1 + 2 i}{1 - 2 i} + \frac{2 + i}{1 + 2 i}) \cdot 1 - i

(\frac{1 - cos ( 2 x )}{2}) (\frac{1 + cos ( 2 x )}{2})