293. - Intermediate Algebra

Question

$\frac{\left(-18p^4{q}^7\right)\left(-6p^3{q}^8\right)}{-36p^{12}{q}^{10}}$

Step-by-Step Solution

Answer

$\frac{3q^5}{p^5}$

Step 1

Rewrite as faction and use fraction multiplcation

=$\left(\frac{-18}{36}\right)\left(-6\right)\left(\frac{p^4. p^3}{p^{12}}\right)\left(\frac{q^8.q^7}{q^{10}}\right)$

Step 2

Use the quotient property to simplify.

$=3.\frac{1}{p^5}.q^5$

Step 3

Multiply the results to get the answer.

=$\frac{3q^5}{p^5}$