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Popular >

simplify (y/3)^{-7}

Solution

simplify

(\frac{y}{3})^{- 7}

Solution

\frac{2187}{y ^{7}}

Solution steps

(\frac{y}{3})^{- 7}

Apply exponent rule:

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

(\frac{y}{3})^{- 7} = \frac{1}{( \frac{y}{3} ) ^{7}}

= \frac{1}{( \frac{y}{3} ) ^{7}}

Simplify

(\frac{y}{3})^{7} : \frac{y ^{7}}{2187}

= \frac{1}{\frac{y ^{7}}{2187}}

Apply the fraction rule:

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

= \frac{2187}{y ^{7}}

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Frequently Asked Questions (FAQ)

What is (y/3)^{-7} ?
The solution to (y/3)^{-7} is (2187)/(y^7)