1. SECTION 7-3 : MORE MULTIPLICATION PROPERTIES of EXPONENTS
ALGEBRA I @
SECTION 7-3 : MORE MULTIPLICATION PROPERTIES of EXPONENTS

2. (x3)4 means x3 • x3 • x3 • x3 = x3+3+3+3 = x12
We know x3 • x4 = x7. The Product of Powers tells us that am • an = am+n
(x3)4 means x3 • x3 • x3 • x3 = x = x12
Simplify each expression. Leave only positive exponents in your answer.
1) (x3)-4
2) a • (a-2)-3
3) (s-2)3(s5)-4
ANSWER : 1 / x12
ANSWER : a7
ANSWER : 1 / s26

3. PROPERTIES OF EXPONENTS
Product of Powers am • an = am+n
Power of a Power (am)n = amn
Power of a Product (ab)m = ambm

4. 4) x7 • x2 6) (3x4)-2 5) (x7)2 7) (-3a2b)2(2a3b3)4
Simplify each expression. Leave no negative exponents in your answer.
4) x7 • x2
6) (3x4)-2
ANSWER : x9
ANSWER : 1 / 9x8
5) (x7)2
7) (-3a2b)2(2a3b3)4
ANSWER : x14
ANSWER : 144a16b14

5. 8) 11) 9) m(m-2)-6 12) (3a2b-3)-2(a-3b)-1 13) (10x3y2z4)(8xyz3)2 10)
ANSWER : 1 / x2
ANSWER : 1 / d
9) m(m-2)-6
12) (3a2b-3)-2(a-3b)-1
ANSWER : m13
ANSWER : b5 / 9a
13) (10x3y2z4)(8xyz3)2
10)
ANSWER : 640x5y4z10
ANSWER : a6/7c5

6. 14) (x2)__ = x-6 Complete each equation. 15) 9(c-3)__ = 9c12
ANSWER : -3
15) 9(c-3)__ = 9c12
ANSWER : -4

7. ALGEBRA I - SECTION 7-3 (More Multiplication Properties of Exponents)
4/6/2019
ALGEBRA I - SECTION 7-3 (More Multiplication Properties of Exponents)