Exponents and Exponential Functions EOC Review

A liquid is evaporating. The amount of a liquid remaining, in liters, after x weeks is modeled by the equation y = 100(0.78)^x.  Approximately what percent of the liquid evaporates per week?

• 22%
• 47%
• 53%
• 78%

Write and exponential function for the following problem: Mrs. Madison starts the year off with 100 pencils. Each week, half of the pencils disappear. How many would be left after x weeks?

Simplify:  x¹⁰⋅x⁴

• x⁴⁰
• x¹⁴
• x⁶
• 2x¹⁴

Simplify:  (5p⁹q³)(2pq⁷)

• 7p¹⁰q¹⁰
• 10p⁹q²¹
• 10p¹⁰q¹⁰
• 10p⁸q^-4

Simplify:  x⁸/x²

• x¹⁶
• x⁴
• x⁵
• x⁶

Simplify

• 2x⁶

• 2x

• 2x⁵

• 2x⁸

Rewrite the expression as a power.

(3x⁴)²

• 9x⁸

• 9x⁶

• 6x⁸

• 6x⁶

• 3x⁸

• 2a²b⁶
• 1/2a²b⁶
• b⁶/2a²
• 2b⁶/a²