What is ((1+h)/r)^{-2} ?

The solution to ((1+h)/r)^{-2} is (r^2)/((1+h)^2)

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simplify ((1+h)/r)^{-2}

simplify

(\frac{1 + h}{r})^{- 2}

\frac{r ^{2}}{( 1 + h ) ^{2}}

Solution steps

(\frac{1 + h}{r})^{- 2}

Apply exponent rule:

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

(\frac{1 + h}{r})^{- 2} = \frac{1}{( \frac{1 + h}{r} ) ^{2}}

= \frac{1}{( \frac{1 + h}{r} ) ^{2}}

Apply exponent rule:

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

(\frac{1 + h}{r})^{2} = \frac{( 1 + h ) ^{2}}{r ^{2}}

= \frac{1}{\frac{( 1 + h ) ^{2}}{r ^{2}}}

Apply the fraction rule:

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

= \frac{r ^{2}}{( 1 + h ) ^{2}}

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