Q7. - Algebra 2

Question

Simplify $\frac{30y^4}{-5y^2}$  assuming that no variable equal to  0.

Step-by-Step Solution

Answer

The simplified value of expression is $-\mathbf{6}{y}^2$ .

Step 1. Write down the given expression.

The given expression to simplify is $\frac{30y^4}{-5y^2}$ .

Step 2. Simplify the given expression.

Simplifying  $\frac{30y^4}{-5y^2}$ gives,

$\begin{array}{c}\frac{30y^4}{-5y^2}=-6\cdot \frac{y^4}{y^2}\\ =-6\cdot y^{4-2}\mathrm{....}(\text{Using }\frac{x^a}{x^b}=x^{a-b})\\ =-6y^2\end{array}$

Step 3. Conclusion.

The simplified value of expression is $-6y^2$ .