Section 12-3 Exponents & Multiplication (-2x + 3) - (-5x +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 * 113 b.) (-2)3 * (-2)5 c.) (-4) * (-4)7 d.) 73 * 72 * 76 117 (-2)8 (-4)8 711

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

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 * 32 b.) 53 * 54 __ 252 35 > 32 * 32 53 * 54 > 252