The number e

The special number, natural base "e", is an ________________ number.

Tags

CCSS.8.NS.A.1

e is approximately what number?

Does the function $y=4e^{-0.75x}$  represent exponential growth or decay?

• exponential growth because r>0

• exponential growth because r<0

• exponential decay because r>0

• exponential decay because r<0

Tags

CCSS.HSF-IF.C.8B

Simplify

 $\left(6e^{-2}\right)^{-3}$  

•  $\frac{e^6}{216}$  

•  $216e^6$  

•  $-18e^{6x}$  

•  $-216e^6$  

Simplify

 $\left(-4e^{2x}\right)^3$  

•  $\frac{e^{6x}}{64}$  

•  $-12e^{6x}$  

•  $-64e^{6x}$  

•  $\frac{1}{64e^{6x}}$  

                 Simply the expression.                   $e^{-4}\cdot e^6$  

•  $e^{-2}$  

•  $\frac{1}{e^2}$  

•  $e^2$  

•  $e^{24}$  

•  $e^{-24}$  

Find the mistake in the problem.

• They should have subtracted the exponents.

• They should have added the exponents.

• They should have multiplied the exponents.

• They should have divided the exponents.

Correct the error & choose the simplified answer.

• $e^{-10x}$

• $e^{7x}$

• $e^{3x}$

• $e^{-\frac{5}{2}x}$

Simplify the expression.
 $\left(3e^{4x}\right)^2$  

•  $6e^{8x}$  

•  $6e^{6x}$  

•  $9e^{6x}$  

•  $9e^{8x}$