Question

$$(x^{2})^{3}\times x^{2}$$

Answer

$$x^8$$

Solution


Use Power Rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[{x}^{6}{x}^{2}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[{x}^{6+2}\]
Simplify  \(6+2\)  to  \(8\).
\[{x}^{8}\]