1. Section 12-3 Exponents & Multiplication
(-2x + 3) - (-5x +2)

2. Ch. 12-3 Exponents and Multiplication
~When multiplying powers with the same base, add exponents.
Example: 34 * 35 = 39
Example 1: Rewrite each expression by adding exponents of like bases.
a.) 114 * b.) (-2)3 * (-2)5
c.) (-4) * (-4)7 d.) 73 * 72 * 76
117
(-2)8
(-4)8
711

3. Rewrite in scientific notation:
Example 2: Multiply each product and write the answer in scientific notation.
a.) (2 * 103)(4 * 106) b.) (5 * 106)(9 * 103)
First multiply the numbers, then add the exponents of like bases.
(2 * 4)(103 * 106)
8 * 109
This is already in scientific notation
First multiply the numbers, then add the exponents of like bases.
(5 * 9)(106 * 103)
45 * 109
Rewrite in scientific notation:
Hint: If the number is bigger than 1 add to the exponent, if it is smaller than 1, subtract from the exponent!
4.5 * 1010

4. Rewrite in scientific notation: 6.3 * 108
c.) (7 * 102)(9 * 105) d.) (3 * 102)(5 * 107)
First multiply the numbers, then add the exponents of like bases.
(7 * 9)(102 * 105)
63 * 107
First multiply the numbers, then add the exponents of like bases.
(3 * 5)(102 * 107)
15 * 109
Rewrite in scientific notation:
6.3 * 108
Rewrite in scientific notation:
1.5 * 1010
Example 3: Compare using <, >, or =
a.) 35 __ 32 * b.) 53 * 54 __ 252
35 > 32 * 32
53 * 54 > 252