What is (125^{1/3})/(125^{2/3)} ?

The solution to (125^{1/3})/(125^{2/3)} is 1/5

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simplify (125^{1/3})/(125^{2/3)}

simplify

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

\frac{1}{5}

Decimal Notation

0.2

Solution steps

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

Apply exponent rule:

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

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

Combine the fractions

\frac{1}{3} - \frac{2}{3} : - \frac{1}{3}

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

Apply exponent rule:

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

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

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

= \frac{1}{5}

(x - 3)^{2} = - 4

1 x^{2} + 5 x + 6 = 0

63 x^{12} - 35 x^{6}

3 x - 1 = 20

\frac{x ^{- 4}}{x ^{- 9}}

What is (125^{1/3})/(125^{2/3)} ?
The solution to (125^{1/3})/(125^{2/3)} is 1/5