Simplify the following: $$ \frac{x^{3} \cdot x^m}{x^{m+2}} $$
\(x\)
\(x^5\)
\( x^{2m-2}\)
\( x^{2m+5}\)
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Approach
Use the exponent rules as follows:
$$\frac{x^{3} \cdot x^m}{x^{m+2}}$$ $$=\frac{x^{3+m}}{x^{m+2}} $$ $$ =x^{3+m-(m+2)}$$ $$ =x^1 $$ $$ =\boxed{x} $$