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Popular >

simplify (x/y)^{-2}

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

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

Apply exponent rule:

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

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

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

Apply the fraction rule:

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

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

Popular Examples

factor 36x^2-y^2 factor

36 x^{2} - y^{2}

x^{2} + 6 x + 7 = 6 x + 7

\frac{x}{8} + 3 = 12

2 x - 6 = 6 + 2 x

simplify 3sqrt(12mn)-sqrt(12mn)+4sqrt(12mn)simplify

3 12 mn - 12 mn + 4 12 mn

Frequently Asked Questions (FAQ)

What is (x/y)^{-2} ?
The solution to (x/y)^{-2} is (y^2)/(x^2)