en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^{-1/3})/(x^{2/3)}

Solution

simplify

\frac{x ^{- \frac{1}{3}}}{x ^{\frac{2}{3}}}

Solution

\frac{1}{x}

Solution steps

\frac{x ^{- \frac{1}{3}}}{x ^{\frac{2}{3}}}

Apply exponent rule:

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

= x^{- \frac{1}{3} - \frac{2}{3}}

Combine the fractions

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

= x^{- 1}

Apply exponent rule:

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

= \frac{1}{x}

Popular Examples

simplify (20!)/(4!16!)simplify

\frac{20 !}{4 ! 16 !}

factor 3x^5-14x^4-14x^3+36x^2+43x+10 factor

3 x^{5} - 14 x^{4} - 14 x^{3} + 36 x^{2} + 43 x + 10

factor 10x^2-33x-7 factor

10 x^{2} - 33 x - 7

factor x^2+13xy-68y^2 factor

x^{2} + 13 x y - 68 y^{2}

simplify sqrt(1.75)simplify

1.75

Frequently Asked Questions (FAQ)

What is (x^{-1/3})/(x^{2/3)} ?
The solution to (x^{-1/3})/(x^{2/3)} is 1/x