Q25. - Algebra 2

Question

Simplify  $\frac{-y^5{z}^7}{y^2{z}^5}$ assuming that no variable equal to 0 .

Step-by-Step Solution

Answer

The simplified value of expression is $-y^3{z}^2$ .

Step 1. Write down the given expression.

The given expressiomn to simplify is$\frac{-y^5{z}^7}{y^2{z}^5}$  .

Step 2. Simplify the given expression.

Simplifying $\frac{-y^5{z}^7}{y^2{z}^5}$  gives,

$\begin{array}{c}\frac{-y^5{z}^7}{y^2{z}^5}=-\frac{-{\left(y\right)}^5{\left(z\right)}^7}{{\left(y\right)}^2{\left(z\right)}^5}\mathrm{....}(\text{Using }\frac{x^a}{x^b}=x^{a-b})\\ =-y^{5-2}{\left(z\right)}^{7-5}\\ =-y^3{z}^2\\ =an\end{array}$

Step 3. Conclusion.

The simplified value of expression is $-y^3{z}^2$ .