simplify, a(3b)^3/(2ab)^2

asked by guest
on Nov 29, 2024 at 12:37 pm



You asked:

Simplify the expression: (a⋅3b)3(2ab)2\frac{{\left( a \cdot 3 b \right)}^{3}}{{\left( 2 a b \right)}^{2}}

MathBot Answer:

Simplified:

a(3b)3(2ab)2=27ab4 \frac{{a\left( 3 b \right)}^{3}}{{\left( 2 a b \right)}^{2}} = \frac{27 a b}{4}

(3ab)3(2ab)2=27a3b34a2b2=27ab4\begin{aligned}\frac{\left(3 a b\right)^{3}}{\left(2 a b\right)^{2}}&=\frac{27 a^{3} b^{3}}{4 a^{2} b^{2}}\\&=\frac{27 a b}{4}\end{aligned}


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