What is ((ab)^{-1})/(a^{-1)b^{-1}} ?

The solution to ((ab)^{-1})/(a^{-1)b^{-1}} is 1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((ab)^{-1})/(a^{-1)b^{-1}}

simplify

\frac{( ab ) ^{- 1}}{a ^{- 1} b ^{- 1}}

1

Solution steps

\frac{( ab ) ^{- 1}}{a ^{- 1} b ^{- 1}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(ab)^{- 1} = a^{- 1} b^{- 1}

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

Cancel the common factor:

a^{- 1}

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

Apply the fraction rule:

\frac{a}{a} = 1

= 1

x^{2} = 64 x

(x + 1) (x + 2) = 12

(\frac{3}{2} x + 5) \cdot (\frac{7}{2} x - 6) = 30

\frac{1}{4} (4 u + 12) - 1 = 12

∣ 6 - 3 x ∣ - 6 = 9

What is ((ab)^{-1})/(a^{-1)b^{-1}} ?
The solution to ((ab)^{-1})/(a^{-1)b^{-1}} is 1