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

The solution to ((2a^{-1}b^2)^2)/((a^3b)^3) is (4b)/(a^{11)}

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

simplify

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

\frac{4 b}{a ^{11}}

Solution steps

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

Simplify

(2 a^{- 1} b^{2})^{2} : \frac{4 b ^{4}}{a ^{2}}

= \frac{\frac{4 b ^{4}}{a ^{2}}}{( a ^{3} b ) ^{3}}

Apply the fraction rule:

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

= \frac{4 b ^{4}}{a ^{2} ( a ^{3} b ) ^{3}}

Simplify

a^{2} (a^{3} b)^{3} : a^{11} b^{3}

= \frac{4 b ^{4}}{a ^{11} b ^{3}}

Cancel

\frac{4 b ^{4}}{a ^{11} b ^{3}} : \frac{4 b}{a ^{11}}

= \frac{4 b}{a ^{11}}

48 \div 16

43 + 512

1 0^{5.5}

x^{8} y + 3 x^{7} y + 2 x^{6} y + 6 x^{5} y

What is ((2a^{-1}b^2)^2)/((a^3b)^3) ?
The solution to ((2a^{-1}b^2)^2)/((a^3b)^3) is (4b)/(a^{11)}