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

The solution to (3ab^2c)((2a^2b)/(c^3))^{-2} is (3c^7)/(4a^3)

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

simplify

(3 a b^{2} c) (\frac{2 a ^{2} b}{c ^{3}})^{- 2}

\frac{3 c ^{7}}{4 a ^{3}}

Solution steps

(3 a b^{2} c) (\frac{2 a ^{2} b}{c ^{3}})^{- 2}

Simplify

(\frac{2 a ^{2} b}{c ^{3}})^{- 2} : \frac{c ^{6}}{4 a ^{4} b ^{2}}

= 3 a b^{2} c \frac{c ^{6}}{4 a ^{4} b ^{2}}

Apply the fraction rule:

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

= \frac{3 a b ^{2} c c ^{6}}{4 a ^{4} b ^{2}}

Cancel the common factor:

b^{2}

= \frac{3 a c c ^{6}}{4 a ^{4}}

Simplify

\frac{a}{a ^{4}} : \frac{1}{a ^{3}}

= \frac{3 c c ^{6}}{4 a ^{3}}

Simplify

c c^{6} : c^{7}

= \frac{3 c ^{7}}{4 a ^{3}}

(- \frac{1}{2} + \frac{3}{2} i)^{2}

\frac{5}{21}

x^{2} + 7 x + 12 = 2 x + 8

\frac{x + 2}{6} = \frac{2 x - 10}{8}

\frac{1}{2} x + \frac{4}{3} x = 33

What is (3ab^2c)((2a^2b)/(c^3))^{-2} ?
The solution to (3ab^2c)((2a^2b)/(c^3))^{-2} is (3c^7)/(4a^3)