Zero and negative Exponents

Zero and negative Exponents

By Deb Scott

​Objective: Simplify expressions involving zero and negative exponents

Reminder: Exponent Vocabulary

Rule #1: Zero Exponents

Anything raised to the zero power is equal to 1

Multiple Choice

Simplify 10⁰

• 10
• 1
• 0
• 100

Multiple Choice

Simplify
6.7⁰

• 6.7
• 1
• -1
• 0

Multiple Choice

Simplify (-9)⁰

• -9
• -1
• 1
• 9

Multiple Choice

Simplify -9⁰ 
(Hint: parenthesis matter)

• 1
• -1
• -9
• 9

Multiple Choice

Which is greater,  2654⁰ or 5⁰?

• 2654⁰
• 5⁰
• They are the same
• Zero is greater

Rule #2: Negative Exponents

You CANNOT have negative exponents. You must simplify your negative exponent.

Multiple Choice

• 27

• -27

• 1/-27

• 1/27

Multiple Choice

Simplify 3x^-2

• 1/3x²
• 3/x²
• 3x²
• x²/3

Multiple Choice

Simplify

• -1/16
• 1/16
• -16
• 16

Multiple Choice

Simplify

• a³b²/4

• 4a³/b²

• 4/a³b²

• 1/4a³b²

Multiple Choice

Simplify -5x²y^-3

• -5x²/y³
• x²/5y³
• x²y³/-5
• y^-3/-5x²

Multiple Choice

Simplify

• -1/125

• 125

• -125

• 1/125

Multiple Choice

$$10^2$$  Identify the base 

• 10

• 2

Multiple Choice

$$10^2$$  Identify the exponent

• 10

• 2

Multiple Choice

Write the equation using exponents

3 X 3 X 3

• 3¹

• 3³

• 3²

Multiple Choice

Evaluate for r = -3 and x = 5

$$r^{-3}$$  

• $$\frac{1}{27}$$  

• - $$\frac{1}{27}$$  

• 27

• -27

Multiple Choice

Evaluate for r = -3 and x =5

4 $$x^{-1}$$  

• 20

• $$\frac{4}{5}$$  

• -20

• - $$\frac{4}{5}$$  

Multiple Choice

Evaluate for r = 5 and x = -3

$$\frac{x^0}{r^{-2}}$$  

• 75

•   $$\frac{3}{25}$$  

• -25

• 25