simplify (x/w)^{-5}

Solution

simplify

(\frac{x}{w})^{- 5}

\frac{w ^{5}}{x ^{5}}

Solution steps

(\frac{x}{w})^{- 5}

Apply exponent rule:

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

(\frac{x}{w})^{- 5} = \frac{1}{( \frac{x}{w} ) ^{5}}

= \frac{1}{( \frac{x}{w} ) ^{5}}

Apply exponent rule:

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

(\frac{x}{w})^{5} = \frac{x ^{5}}{w ^{5}}

= \frac{1}{\frac{x ^{5}}{w ^{5}}}

Apply the fraction rule:

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

= \frac{w ^{5}}{x ^{5}}

6.03 \cdot 1 0^{- 4}

6.8 \cdot 1 0^{- 3}

\frac{3 ^{x}}{4 ^{x}}

e^{- n x^{2}}

2.71 8^{- \frac{0.0158}{1 - 0.015 8 ^{2}} \cdot π}