2.4 Exponential Function Manipulation

3 practice questions

Notes

Use exponent rules to rewrite:

$b^mb^n=b^{m+n}$; $(b^m)^n=b^{mn}$; $\displaystyle b^{-n}=\frac{1}{b^n}$; $\displaystyle b^{1/n}=\sqrt[n]{b}$.
A horizontal shift is a vertical stretch: $b^{x+k}=b^k\cdot b^x$.

$2^{x+3}$ is equivalent to:

$9^x$ is equivalent to:

$16^{1/2}=$