Warm Up I can simplify expressions with exponents. 1. What is the value of 3x 3 +2 when x=10? 2. You put $500 in an account that doubles every year.  What is the equation for this situation?  How much money would you have after 4 years?

What an Exponent Represents An exponent tells how many times a number is multiplied by itself. 3 4 = 3  3  3  3 = 81

How do you say this? three to the third power or three cubed 3 3 Base Exponent

three to the 2 nd power Or three squared 3 2 Base Exponent How do you say this?

2. 8  8  8  8 = Practice: Write in many different ways 1. 9  9 = 3. x  x  x  x  x =

Exponent Rules

Part 1 Product Rule: Multiply same base, add the exponents Example:

Part 2 Quotient Rule: Divide same base, subtract the exponents Example:

Part 3 Power Rule: Same base, multiply the exponents Example:

Part 4 Expanded Power Rule: Apply outside exponent to all parts inside parenthesis Example:

Part 5 Expanded Power Rule (cont): Example: Apply outside exponent to all parts inside parenthesis

Part 6 Zero Exponent Rule: Any base raised to 0 equals 1. Example:

NOTES

Negative Exponents Negative exponents tell you how many times you should divide by a number Negative exponents move the base to bottom of a fraction Note: the exponent becomes positive

Negative Exponents

Partners Find a partner with a different letter Compare and check each others answers

Worksheet Complete any 10 problems

What’s the difference?