The Exponent Laws
April 16, 2014
What's Going On?
Exponential Basics ­ Whiteboards!
The Exponent Laws Jigsaw
Whiteboard Quiz
Learning Goal ­ I will know the exponent laws and will be able to use them to simplify relations.
The Exponent Laws
April 16, 2014
Unit 5: Exponential Relations
Day 1: The Exponent Laws
The Exponent Laws
Exponential Basics ­ Whiteboards!
Write in expanded form.
April 16, 2014
The Exponent Laws
Exponential Basics ­ Whiteboards!
Write in expanded form.
April 16, 2014
The Exponent Laws
Exponential Basics ­ Whiteboards!
Write in expanded form.
April 16, 2014
The Exponent Laws
Exponential Basics ­ Whiteboards!
Write in expanded form.
April 16, 2014
The Exponent Laws
Exponential Basics ­ Whiteboards!
Simplify
April 16, 2014
The Exponent Laws
Exponential Basics ­ Whiteboards!
Simplify
April 16, 2014
The Exponent Laws
Exponential Basics ­ Whiteboards!
Simplify
April 16, 2014
The Exponent Laws
Exponential Basics ­ Whiteboards!
Simplify
April 16, 2014
The Exponent Laws
April 16, 2014
The Exponent Laws
Exponential Basics ­ Whiteboards!
Simplify. Write as a fraction.
NO DECIMALS
April 16, 2014
The Exponent Laws
Exponential Basics ­ Whiteboards!
Simplify. Write as a fraction.
NO DECIMALS
April 16, 2014
The Exponent Laws
Exponential Basics ­ Whiteboards!
Simplify. Write as a fraction.
NO DECIMALS
April 16, 2014
The Exponent Laws
April 16, 2014
The Exponent Laws
April 16, 2014
Exponential Basics
Expanded Form
A number to an exponent is just that number ______________________ by itself.
To write (b)n in expanded form, _____________ ___ by itself ___ times.
Examples
a. 37 =
b. ­46 =
c. (­4)6 =
d. 3.24 =
The Exponent Laws
April 16, 2014
Exponential Basics
On a Calculator
To evaluate a number to an exponent on your calculator, use the ____ button.
Examples
a. 37 =
b. ­46 =
c. (­4)6 =
d. 3.24 =
The Exponent Laws
April 16, 2014
Exponential Basics
Fractions Raised to Exponents
A fraction raised to an exponent is just that fraction ______________________ by itself.
The Exponent Laws
April 16, 2014
The Exponent Laws
Jig­Saw
1. Find your partner and matching puzzle piece in the room.
With your partner, try and figure out the pattern between your example and the example on the back of your puzzle.
Mr. Gilbert will give you one more example to simplify.
The Exponent Laws
April 16, 2014
The Exponent Laws
1. The Product Rule
2. The Quotient Rule
3. The Power of a Power Rule
The Exponent Laws
April 16, 2014
1. The Product Rule
What is 6 3 x 6 4 ?
What is 4 3 x 4 6 ?
What is 5 3 x 5 2 ?
When multiplying two powers with the
same base, __ __ __ the exponents
The Exponent Laws
April 16, 2014
2. The Quotient Rule
What is 5 5 ÷ 52 ?
What is 4 7 ÷ 43 ?
What is 6 8 ÷ 66 ?
When dividing two powers with the same base,
__ __ __ __ __ __ __ __ the exponents
The Exponent Laws
April 16, 2014
3. The Power of a Power Rule
What is (6 3 )4 ?
What is (4 3 )6 ?
What is (5 3 )2 ?
When raising a power to an exponent
__ __ __ __ __ __ __ __ the exponents
The Exponent Laws
April 16, 2014
Combining the Exponent Laws
Use GEMA
1. Deal with Groupings
2. Deal with Exponents
3. Deal with Multiplication and Division
4. Deal with Addition and Subtraction
The Exponent Laws
April 16, 2014
The Exponent Laws
April 16, 2014
Whiteboard Quiz