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