What is (125^{-11/12})/(125^{-1/4)} ?

The solution to (125^{-11/12})/(125^{-1/4)} is 1/25

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simplify (125^{-11/12})/(125^{-1/4)}

simplify

\frac{12 5 ^{- \frac{11}{12}}}{12 5 ^{- \frac{1}{4}}}

\frac{1}{25}

Solution steps

\frac{12 5 ^{- \frac{11}{12}}}{12 5 ^{- \frac{1}{4}}}

Apply exponent rule:

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

= 12 5^{- \frac{11}{12} - (- \frac{1}{4})}

Apply rule

- (- a) = a

= 12 5^{- \frac{11}{12} + \frac{1}{4}}

Join

- \frac{11}{12} + \frac{1}{4} : - \frac{2}{3}

= 12 5^{- \frac{2}{3}}

Apply exponent rule:

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

= \frac{1}{12 5 ^{\frac{2}{3}}}

12 5^{\frac{2}{3}} = 25

= \frac{1}{25}

(x^{\frac{1}{3}})^{2}

2 x + 5 \leq 3 (x - 2)

x^{2} < - 1 x + 56

d^{2} - d - 20

1 6^{\frac{- 1}{2}}

What is (125^{-11/12})/(125^{-1/4)} ?
The solution to (125^{-11/12})/(125^{-1/4)} is 1/25