Q24. - Algebra 2

Question

Simplify $\frac{a^2{n}^6}{a{n}^5}$  assuming that no variable equal to 0 .

Step-by-Step Solution

Answer

The simplified value of expression is an.

Step 1. Write down the given expression.

The given expression to simplify is $\frac{a^2{n}^6}{a{n}^5}$ .

Step 2. Simplify the given expression.

Simplifying  $\frac{a^2{n}^6}{a{n}^5}$ gives,

$\begin{array}{c}\frac{a^2{n}^6}{a{n}^5}=\frac{{\left(a\right)}^2{\left(n\right)}^6}{\left(a\right){\left(n\right)}^5}\mathrm{....}(\text{Using }\frac{x^a}{x^b}=x^{a-b})\\ ={\left(a\right)}^{2-1}{\left(n\right)}^{6-5}\\ =a^1{n}^1\\ =an\end{array}$

Step 3. Conclusion.

The simplified value of expression is $an$ .