Ch. 4 Quiz #3

The special number, natural base "e", is a(n) ________________ number.

• rational

• irrational

• real

The natural logarithm has what base?

• 10
• 0
• e
• -e

Tags

CCSS.HSF.BF.B.5

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

•  $e^{-2}$  

•  $\frac{1}{e^2}$  

•  $e^2$  

•  $e^{24}$  

•  $e^{-24}$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSN.RN.A.2

Simplify:  $\left(4e^{-2x}\right)^3$  

•  $\frac{4}{e^{6x}}$  

•  $\frac{1}{64e^{6x}}$  

•  $64e^{6x}$  

•  $\frac{64}{e^{6x}}$  

Tags

CCSS.HSN.RN.A.2

• e⁷
• e¹⁰
• 5e⁷
• 5e¹⁰

Simplify

• 5e¹¹
• 6e¹¹
• 5e³⁰
• 6e³⁰

Tags

CCSS.8.EE.A.1

Simplify the expression.  $\frac{11e^9}{22e^{10}}$  

•  $\frac{2}{e}$  

•  $\frac{1}{2e}$  

•  $\frac{e^{-1}}{2}$  

•  $2e$  

Tags

CCSS.HSA.APR.A.1

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.

• $e^{-10x}$

• $e^{7x}$

• $e^{3x}$

• $e^{-\frac{5}{2}x}$

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

When would we use this formula? A = Pe ^rt

• interest increases by fixed amount
• compound interest 
• compound continuously 
• decreases by fixed percent