What is (3ab^{-2})/(6a^2b^{-1)} ?

The solution to (3ab^{-2})/(6a^2b^{-1)} is 1/(2ab)

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simplify (3ab^{-2})/(6a^2b^{-1)}

simplify

\frac{3 a b ^{- 2}}{6 a ^{2} b ^{- 1}}

\frac{1}{2 ab}

Solution steps

\frac{3 a b ^{- 2}}{6 a ^{2} b ^{- 1}}

Factor the number:

6 = 3 \cdot 2

= \frac{3 a b ^{- 2}}{3 \cdot 2 a ^{2} b ^{- 1}}

Cancel the common factor:

3

= \frac{a b ^{- 2}}{2 a ^{2} b ^{- 1}}

Simplify

\frac{a}{a ^{2}} : \frac{1}{a}

= \frac{b ^{- 2}}{2 a b ^{- 1}}

Simplify

\frac{b ^{- 2}}{b ^{- 1}} : \frac{1}{b}

= \frac{1}{2 ab}

\frac{2 + 2}{2 - 2}

(3 x - 4) (3 x^{2} + 3 x - 4)

\frac{13}{12} + \frac{- 7}{18} - \frac{5}{24}

120 \div 40

\frac{7}{8} \times \frac{4}{5}

What is (3ab^{-2})/(6a^2b^{-1)} ?
The solution to (3ab^{-2})/(6a^2b^{-1)} is 1/(2ab)