Algebra 2: Natural Base e

Simplify the expression, leaving e in the answer.

 $e^3\cdot e^5$  

•  $e^{15}$  

•  $e^8$  

•  $2e^8$  

•  $2e^{15}$  

Simplify the expression, leaving e in the answer.

 $e^{-4}\cdot e^6$  

•  $e^2$  

•  $e^{-24}$  

•  $2e^2$  

•  $2e^{-24}$  

Simplify the expression, leaving e in the answer.

 $\frac{11e^{10}}{22e^2}$  

•  $2e^5$  

•  $2e^8$  

•  $\frac{1}{2}e^5$  

•  $\frac{1}{2}e^8$  

Simplify the expression, leaving e in the answer.

 $\frac{27e^7}{3e^4}$  

•  $9e^3$  

•  $24e^3$  

•  $9e^{\frac{7}{4}}$  

•  $24e^{\frac{7}{4}}$  

Simplify the expression, leaving e in the answer. $\left(5e^{7x}\right)^4$  

•  $5e^{11x}$  

•  $5e^{28x}$  

•  $625^{28x}$  

•  $625^{11x}$  

 $\left(4e^{-2x}\right)^3$  

Simplify the expression, leaving e in the answer.

•  $\frac{12}{e^{6x}}$  

•  $\frac{64}{e^{6x}}$  

•  $12e^{6x}$  

•  $64e^{6x}$  

Evaluate the expressions using a calculator/desmos. Rounds to 2 decimal places.

 $e^3\cdot e^5$  

Evaluate the expressions using a calculator/desmos.

 $e^{-4}\cdot e^6$  

 $\frac{11e^{10}}{22e^2}$  

Evaluate the expressions using a calculator/desmos.

Without graphing, tell if the function below is growth or decay.

 $y=e^{-5x}$  

• Growth

• Decay