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Popular >

simplify (x/y)^{-7}

Solution

simplify

(\frac{x}{y})^{- 7}

Solution

\frac{y ^{7}}{x ^{7}}

Solution steps

(\frac{x}{y})^{- 7}

Apply exponent rule:

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

(\frac{x}{y})^{- 7} = \frac{1}{( \frac{x}{y} ) ^{7}}

= \frac{1}{( \frac{x}{y} ) ^{7}}

Apply exponent rule:

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

(\frac{x}{y})^{7} = \frac{x ^{7}}{y ^{7}}

= \frac{1}{\frac{x ^{7}}{y ^{7}}}

Apply the fraction rule:

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

= \frac{y ^{7}}{x ^{7}}

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Frequently Asked Questions (FAQ)

What is (x/y)^{-7} ?
The solution to (x/y)^{-7} is (y^7)/(x^7)