Warm-ups 1.) 2 2.) 3 3.) 4 4.) (3460) 5 3 4 0 = 22222 = 4222 = 822 = 162 = 32 Solve: = 333 = 93 = 27 = 4444 = 1644 = 644 = 256 = 1 Anything to the 0 power.

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Warm-ups 1.) 2 2.) 3 3.) 4 4.) (3460) = = 4222 = 822 = 162 = 32 Solve: = 333 = 93 = 27 = 4444 = 1644 = 644 = 256 = 1 Anything to the 0 power is 1

7.3-MULTIPLYING EXPONENTS What is an exponent? = 3333 Exponent Base Base - Tells you what # you multiply. Exponent - Tells you how many times you multiply

What if we multiply two exponents with the same base ? = How many 3’s do we have now? 9 So the base is 3 and the exponent is Exponent Base

= What do you notice about the exponents? What does = ? 9 When multiplying exponents, we can: 1.) Keep the base number and 2.) Add the exponents. Oh, I see!

Type 1: Simplify: 3+5  Keep the base  Add the exponents 3+6  Keep the base  Add the exponents Type 2:

You try: Simplify: 6+4  Keep the base  Add the exponents 5+9  Keep the base  Add the exponents

Type 3: Simplify: 2.) Keep the base number (or variable) 3.) Add the exponents. y ) Multiply the numbers in front. 4●3 =

You try: Simplify: a = = 8 a 8 1.) Multiply the numbers in front. 2.) Keep the base number (or variable) 3.) Add the exponents.

Type 4: Simplify: 2.) Keep the common base number (or variable) 3.) Add the exponents. x ) Multiply the numbers in front. 5●25●2 = 1 4.) Keep the common base number (or variable) y 5.) Add the exponents. 3+6

Try this: Simplify: 2.) Keep the common base number (or variable) 3.) Add the exponents. x ) Multiply the numbers in front. 4●44●4 = 4.) Keep the common base number (or variable) y 5.) Add the exponents. 3+5

C = C = 1 C