1. 4.1 Properties of Exponents
PG. 107

2. Must Have the Same Base to Apply Most Properties

3. Properties of Exponents
“Product of Powers”
“Power of a Power”
“Power of a Product”

4. Properties of Exponents
“Negative Exponent”
“Zero Exponent”

5. Properties of Exponents
“Quotient of Powers”
“Power of a Quotient”

6. Investigating Math Activity (p. 101)

8. GUIDED PRACTICE
for Examples 1 and 2
Evaluate the expression. Tell which properties of
exponents you used.
(42 )3
ANSWER
4096 ; Power of a power property
2. (–8)(–8)3
4096 ; Product of a powers property
ANSWER 3.
2 3 9 8
ANSWER
; Power of a quotient property
729

9. WARM-UP
Standardized Test Practice
SOLUTION

10. GUIDED PRACTICE
for Examples 3, 4, and 5
Simplify the expression. Tell which properties of
exponents you used.
5. x–6x5 x3
ANSWER
x2 ; Product of powers property
(7y2z5)(y–4z–1)
7z4 y2
; Product of powers property, Negative exponent property
ANSWER

11. GUIDED PRACTICE
for Examples 3, 4, and 5 7.
s 3 2
t–4
s6t8
ANSWER
; Power of a power property, Negative exponent property 8.
x4y–
x3y6 x3
y24
; Quotient of powers property, Power of a Quotient property, Negative exponent property
ANSWER

12. SCIENTIFIC NOTATION Is in the form c x 10n
C is a number between 1 and 9.99……….
n is an integer
Positive = bigger number (move right)
Negative = smaller number (move left)

13. SCIENTIFIC NOTATION Examples…

14. Multiplying Scientific Notation Examples…
Ex 4) (3.2 x 103) (1.4 x 102)
Ex 5) (2.7 x 104) 2
Ex 6) (2.2 x 10-5) (7.4 x 103)

15. GUIDED PRACTICE
for Examples 1 and 2
– 4 4. 2
ANSWER
; quotient of power property

16. Homework
Pg. 110, 1 – 32 all