Q21. - Algebra 2

Question

Simplify ${\left(z^2\right)}^5$  assuming that no variable equal to 0 .

Step-by-Step Solution

Answer

The simplified value of expression is $z^{10}$ .

Step 1. Write down the given expression.

The given expression to simplify is ${\left(z^2\right)}^5$ .

Step 2. Simplify the given expression.

Simplifying  ${\left(z^2\right)}^5$ gives,

$\begin{array}{c}{\left(z^2\right)}^5={\left(z\right)}^{2\times 5}\mathrm{....}(\text{Using }{\left(x^a\right)}^b=x^{ab})\\ ={\left(z\right)}^{10}\\ =z^{10}\end{array}$

Step 3. Conclusion.

The simplified value of expression is $z^{10}$ .