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

The solution to ((3ab)^{-2})/(2b) is 1/(18a^2b^3)

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

simplify

\frac{( 3 ab ) ^{- 2}}{2 b}

\frac{1}{18 a ^{2} b ^{3}}

Solution steps

\frac{( 3 ab ) ^{- 2}}{2 b}

Simplify

(3 ab)^{- 2} : \frac{1}{9 a ^{2} b ^{2}}

= \frac{\frac{1}{9 a ^{2} b ^{2}}}{2 b}

Apply the fraction rule:

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

= \frac{1}{9 a ^{2} b ^{2} \cdot 2 b}

Simplify

9 a^{2} b^{2} \cdot 2 b : 18 a^{2} b^{3}

= \frac{1}{18 a ^{2} b ^{3}}

6^{2} + 3^{2} + 2^{2}

1 0^{3} \cdot 1 0^{- 6}

\frac{4 ^{- 1} x ^{- 2}}{( 4 x ) ^{2}}

50 - 18 + 32

a^{2} b (2 a x - 3 b y - a b^{2})