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Exponents
Properties
Warm Up
Solve the following equations:
3 = 3x + 1
6x + 7 = 61
5a – 34 = -9
Objective
The student will be able to use exponents and their properties.
Think, Pair, Share…
Consider the following:
Is there a way to write the multiplication of the same number multiple times in a more compact way? For example: 2*2*2*2*2*2*2*2, is there any other way we could represent this? If so what would it look like if not why not?
Exponents: 0 and 1
Exponents of 0:
When a number or a variable is raised to the 0 power it simply equals 1.
Exponents of 1:
When a number or a variable is raised to the power of 1 it simply equals itself.
Try with a Partner
Evaluate:
Multiplying Variables With Exponents
When you multiply exponents you add them together:
When there are constants involved you multiply the constants and add the exponents:
When there are mixed variables, meaning more than one you add the exponents of the same variables together
Try with a Partner:
Evaluate:
Negative Exponents
When the exponent is negative the variable the variable is put UNDER 1 and the exponent becomes positive:
Dividing Variables with Exponents
When you divide variables with exponents you subtract the exponents of the same variable:
Try with a Partner:
Evaluate:
Power of a Power Property
When you raise an exponent to a power (power of a power) you multiply exponents.
With a Partner
Solve:
On Your Own:
Evaluate the following:
Exit Ticket and Homework
Exit Ticket Homework:
Worksheet