294. - Intermediate Algebra

Question

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

Step-by-Step Solution

Answer

$2b^6$

Step 1

Rewrite as a fraction and use fraction multiplication.

=$\left(\frac{6.4}{12}\right)\left(\frac{a^4.a}{a^2{a}^3}\right)\left(\frac{b^3.b^5}{b.b}\right)$

Step 2

Use the quotient property to simplify.

= $2. 1. b^6$

Step 3

Multiply the results to get the answer.

= $2b^6$