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
- Slides: 24