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