What is (d^{-13})/(d^{-2)} ?

The solution to (d^{-13})/(d^{-2)} is 1/(d^{11)}

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simplify (d^{-13})/(d^{-2)}

simplify

\frac{d ^{- 13}}{d ^{- 2}}

\frac{1}{d ^{11}}

Solution steps

\frac{d ^{- 13}}{d ^{- 2}}

Apply exponent rule:

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

= d^{- 13 - (- 2)}

Apply rule

- (- a) = a

= d^{- 13 + 2}

Add/Subtract the numbers:

- 13 + 2 = - 11

= d^{- 11}

Apply exponent rule:

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

= \frac{1}{d ^{11}}

\frac{14}{7 - 5}

\frac{5}{9} - \frac{1}{6}

\frac{40}{180}

\frac{3}{4} ln (e)

32 - 22