Question

$$\frac{ }{ } { x }^{ 2 } \times \frac{ { x }^{ P } }{ }$$

Answer

$$x^(P+2)*^(P+2)$$

Solution


Simplify.
\[{x}^{P}{x}^{2}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[{x}^{P+2}\]
Regroup terms.
\[{x}^{P+2}\]
Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[{}^{P+2}{x}^{P+2}\]
Regroup terms.
\[{x}^{P+2}{}^{P+2}\]