Q35. - Algebra 2

Question

Simplify $\frac{-12m^4{n}^8\left(m^3{n}^2\right)}{36m^{3}n}$  assuming that no variable equal to 0 .

Step-by-Step Solution

Answer

The simplified value of expression is  $-\frac{m^4{n}^9}{3}$.

Step 1. Write down the given expression.

The given expressiomn to simplify is $\frac{-12m^4{n}^8\left(m^3{n}^2\right)}{36m^{3}n}$ .

Step 2. Simplify the given expression.

Simplifying $\frac{-12m^4{n}^8\left(m^3{n}^2\right)}{36m^{3}n}$  gives,

$\begin{array}{c}\frac{-12m^4{n}^8\left(m^3{n}^2\right)}{36m^{3}n}=\frac{(-12)\left(m^4{n}^8\right)\left(m^3{n}^2\right)}{\left(36\right)\left(m^{3}n\right)}\\ =-\frac{\left(m^4{n}^8\right)\left(m^3{n}^2\right)}{3\left(m^{3}n\right)}\\ =-\frac{\left(m^{4+3-3}\right)\left(n^{8+2-1}\right)}{3}\mathrm{....}(\text{Using }\frac{{\left(x\right)}^a{\left(x\right)}^b}{{\left(x\right)}^c}=x^{a+b-c})\\ =-\frac{m^4{n}^9}{3}\end{array}$

Step 3. Conclusion.

The simplified value of expression is $-\frac{m^4{n}^9}{3}$ .