292. - Intermediate Algebra

Question

$\frac{\left(10m^5{n}^4\right)\left(5m^3{n}^6\right)}{25m^7{n}^5}$

Step-by-Step Solution

Answer

$2m{n}^2$$2m{n}^2$

Step 1

Rewrite as a fraction and use fraction multiplication.

$=\left(\frac{10.5}{25}\right)\left(\frac{m^5. m^3}{m^7}\right)\left(\frac{n^4.n^6}{n^5}\right)$

Step 2

Use the quotient property to simplify

$=2. m. n^2$$2. m. n^2$

Step 3

Multiply the results to get the answer.

=$2m{n}^2$