What is (a^{-n})/(b^{-m)} ?

The solution to (a^{-n})/(b^{-m)} is (b^m)/(a^n)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (a^{-n})/(b^{-m)}

simplify

\frac{a ^{- n}}{b ^{- m}}

\frac{b ^{m}}{a ^{n}}

Solution steps

\frac{a ^{- n}}{b ^{- m}}

Apply exponent rule:

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

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

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

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

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

Simplify

a^{n} b^{- m} : \frac{a ^{n}}{b ^{m}}

= \frac{1}{\frac{a ^{n}}{b ^{m}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{b ^{m}}{a ^{n}}

x^{3} + 7 x^{2} - 14 x - 98

2 d^{2} + 9 d + 7

x^{2} + x + 8 = 0

5 x^{2} - 22 x + 8

∣ x - 7 ∣ = 5