en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

\frac{2 x}{3}

Solution steps

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

Apply exponent rule:

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

\frac{x ^{- 2}}{x ^{- 3}} = x^{- 2 - (- 3)}

= \frac{2 x ^{- 2 - (- 3)}}{3}

- 2 - (- 3) = 1

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

Apply exponent rule:

a^{1} = a

x^{1} = x

= \frac{2 x}{3}

Popular Examples

\frac{42}{10}

factor 3b^2-5b-2 factor

3 b^{2} - 5 b - 2

62 43/56+24 19/20

62 \frac{43}{56} + 24 \frac{19}{20}

simplify ((x-y)^3+z^3)/((x-y)+z)simplify

\frac{( x - y ) ^{3} + z ^{3}}{( x - y ) + z}

factor-2x^3+2x^2+12x factor

- 2 x^{3} + 2 x^{2} + 12 x

Frequently Asked Questions (FAQ)

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