What is (5a^{-89}b^0)/(5a^{75)b^{-1}} ?

The solution to (5a^{-89}b^0)/(5a^{75)b^{-1}} is b/(a^{164)}

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simplify (5a^{-89}b^0)/(5a^{75)b^{-1}}

simplify

\frac{5 a ^{- 89} b ^{0}}{5 a ^{75} b ^{- 1}}

\frac{b}{a ^{164}}

Solution steps

\frac{5 a ^{- 89} b ^{0}}{5 a ^{75} b ^{- 1}}

Simplify

\frac{5 a ^{- 89} b ^{0}}{5 a ^{75} b ^{- 1}} : \frac{5 a ^{- 89}}{5 a ^{75} b ^{- 1}}

= \frac{5 a ^{- 89}}{5 a ^{75} b ^{- 1}}

Cancel the common factor:

5

= \frac{a ^{- 89}}{a ^{75} b ^{- 1}}

Simplify

\frac{a ^{- 89}}{a ^{75}} : \frac{1}{a ^{164}}

= \frac{1}{a ^{164} b ^{- 1}}

Simplify

\frac{1}{a ^{164} b ^{- 1}} : \frac{b}{a ^{164}}

= \frac{b}{a ^{164}}

\frac{2}{5} - \frac{4}{3}

- 2 + \frac{5}{4}

\frac{5}{2} \times \frac{1}{4}

\frac{150}{50}

\frac{150}{11}

What is (5a^{-89}b^0)/(5a^{75)b^{-1}} ?
The solution to (5a^{-89}b^0)/(5a^{75)b^{-1}} is b/(a^{164)}