289. - Intermediate Algebra

Question

$20m^8 n^4÷\left(30m^5 n^9\right)$

Step-by-Step Solution

Answer

$\frac{2m^3}{3n^5}$

Step 1

Rewrite as a fraction and use fraction multiplication.

$=\frac{2m^8{n}^4}{30m^5{n}^9}$

Step 2

Use the quotient property to simplify.

$$\begin{gathered} =\frac{20}{30}.\frac{m^8}{m^5}.\frac{n^4}{n^9} \\ =\frac{2}{3}. m^3.\frac{1}{n^5} \end{gathered}$$

Step 3

Multiply the results to get the answer.

$=\frac{2m^3}{3n^5}$