7.1 Zero and Negative Exponents

7.1 Zero and Negative Exponents

Complete your note sheet as you move through the slides

**We will be going through a series of Laws with Exponents (rules). You will need to memorize these. Flash cards would be a helpful thing to make**

Reminder: Exponent Vocabulary

The power is the whole term.
The base is the number being multiplied
The exponent tells you how many times to multiply the base by itself

Example:  $5^7$   = 5 X 5 X 5 X 5 X 5 X 5 X 5

 $x^3$   = (x)(x)(x) 

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

Now try the examples on your note page

Answers on next slide