What is ((w^{3-m})/(w^m))^{-1} ?

The solution to ((w^{3-m})/(w^m))^{-1} is w^{2m-3}

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simplify ((w^{3-m})/(w^m))^{-1}

simplify

(\frac{w ^{3 - m}}{w ^{m}})^{- 1}

w^{2 m - 3}

Solution steps

(\frac{w ^{3 - m}}{w ^{m}})^{- 1}

Apply exponent rule:

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

(\frac{w ^{3 - m}}{w ^{m}})^{- 1} = \frac{1}{\frac{w ^{3 - m}}{w ^{m}}}

= \frac{1}{\frac{w ^{3 - m}}{w ^{m}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{w ^{m}}{w ^{3 - m}}

Apply exponent rule:

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

\frac{w ^{m}}{w ^{- m + 3}} = w^{m - (- m + 3)} = w^{2 m - 3}

= w^{2 m - 3}

\frac{( x ^{2} - 4 x - 12 )}{( x + 2 )}

(x - y)^{2}

\frac{a}{2 a}

2 - (\frac{4}{3})^{2}

\frac{2 x ^{2} + x - 3}{x ^{2} - 3 x + 2}

What is ((w^{3-m})/(w^m))^{-1} ?
The solution to ((w^{3-m})/(w^m))^{-1} is w^{2m-3}