Q. 294 - Intermediate Algebra

Question

In the following exercise, divide the monomials.

$\frac{\left(6a^4{b}^3\right)\left(4a{b}^5\right)}{\left(12a^{2}b\right)\left(a^{3}b\right)}$

Step-by-Step Solution

Answer

The required answer is $2b^6$.

Step 1. Given Information

Given expression: $\frac{\left(6a^4{b}^3\right)\left(4a{b}^5\right)}{\left(12a^{2}b\right)\left(a^{3}b\right)}$

Step 2. Calculation

We have, $\frac{\left(6a^4{b}^3\right)\left(4a{b}^5\right)}{\left(12a^{2}b\right)\left(a^{3}b\right)}$

$=\frac{24a^5{b}^8}{12a^5{b}^2}$          perform multiplication in numerator and denominator

$=\frac{24}{12}·\frac{a^5}{a^5}·\frac{b^8}{b^2}$      use fraction multiplication

$=2b^6$              simplify and use quotient property