1. 6.1 Using Properties of Exponents
OBJ: To use properties of exponents to evaluate & simplify expressions with powers
6.1 Using Properties of Exponents
Do Now:
label the parts of this power
exponent 3 x
x x x =
base
Rule of Common Bases a b
a + b x x x =
Like: 3
3 + 2 n n 2 n n 5 = =
n n n
n n n 5 =
Do not copy!

2. Simplify
Ex 1: 1) 4) 2) 5) 3)

3. ( ) ( ) x x n n n (n n n) (n n n) (n n n) n Power to Power Rule = = =
( ) b a ab x x =
Like: 2
( ) 3
3 2 6 n n n = = 2
(n n n)
(n n n)
(n n n) 6 n
Do not
copy! = =

4. Ex 2:
Simplify 1) 3) 2) 4)

5. Zero and Negative Exponents
*A negative exponent is an inverse! 1 x -1 = x
Ex 3: 1) 2) 3)

6. Ex 4: 1) 4) 2) 5) 3)

7. x x x x x x 6.1 continued… Do now: = = or = =
OBJ: To use properties of exponents to evaluate & simplify expressions with powers
6.1 continued…
Do now:
Simplify. x 5 = = x 2 or x 5 = x 2
Quotient of Powers Property x a = x b

8. Examples: Simplify 1) = = 2) = = = 3) 4)

9. 5) 6)

10. Power of Quotient Propertyx a = y a 7) 8)

11. 9)

12. OBJ: To use exponents and scientific notation to solve real-life problems
Scientific Notation - used to write very
large or very small numbers expressed
in the form...
Ex:
3,780,000,000,000 =
12 jumps left =
7 jumps right