Operation Rules for Exponents 4 1 b S

Operation Rules for Exponents 4. 1 b S KM & PP 1

Natural Number Exponents using base X x^n also means xn 4. 1 b S KM & PP 2

Definition for n>0 There are n factors of x. (n > 0) When n > 0 we can see that using an exponent gives us a shorter way to write multiplication of a repeated factor (the base) 4. 1 b S KM & PP 3

Zero Exponent Rule 4. 1 b S KM & PP 4

Negative Exponent Rule Since a positive integer exponent tells us to multiply, it is logical that a negative integer exponent would mean divide! 4. 1 b S KM & PP 5

Product Rule To multiply factors with like bases, add the exponents 4. 1 b S KM & PP 6

Product Rule: Example 1 4. 1 b S KM & PP 7

Product Rule: Example 2 4. 1 b S KM & PP 8

Product Rule: Example 3 4. 1 b S KM & PP 9

Quotient Rule To divide factors with like bases, subract the exponents 4. 1 b S KM & PP 10

See how it works? 4. 1 b S KM & PP 11

How about this one? 4. 1 b S KM & PP 12

Trust the Rules! 4. 1 b S KM & PP 13

Power Rule To raise a base to a power up to another power, multiply the exponents 4. 1 b S KM & PP 14

Power Rule for Products This is not the Distributive Property. 4. 1 b S KM & PP 15

Power Rule: Example 1 4. 1 b S KM & PP 16

Power Rule: Example 2 4. 1 b S KM & PP 17

Power Rule and More: Example 3 4. 1 b S KM & PP 18

Power Rule for Quotients 4. 1 b S KM & PP 19

Follow the Rules! 4. 1 b S KM & PP 20

Follow the Rules! 4. 1 b S KM & PP 21

Negatives too! 4. 1 b S KM & PP 22

Let’s try a hard one! 4. 1 b S KM & PP 23

That’s All for Now! 4. 1 b S KM & PP 24