What is (a^{-13})/(a^{-6)} ?

The solution to (a^{-13})/(a^{-6)} is 1/(a^7)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (a^{-13})/(a^{-6)}

simplify

\frac{a ^{- 13}}{a ^{- 6}}

\frac{1}{a ^{7}}

Solution steps

\frac{a ^{- 13}}{a ^{- 6}}

Apply exponent rule:

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

= a^{- 13 - (- 6)}

Apply rule

- (- a) = a

= a^{- 13 + 6}

Add/Subtract the numbers:

- 13 + 6 = - 7

= a^{- 7}

Apply exponent rule:

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

= \frac{1}{a ^{7}}

x^{2} + 7 x - 12 = 0

\frac{1}{4} a + \frac{2}{3} a

\frac{1}{8} + \frac{3}{8}

9 r^{2} + 3 r - 30

\frac{1}{2} x + 5 = - \frac{3}{4} x - 6