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7-2 Multiplying Powers with same Base. Objective: “ Ditto”. 7-2 Multiplying Powers with same Base. Identify base: Identify exponent: Value: = General Rule: =
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7-2 Multiplying Powers with same Base Objective: “ Ditto”
7-2 Multiplying Powers with same Base • Identify base: • Identify exponent: • Value: • = • General Rule: = • When multiplying like bases, keep the base, ADD the exponents.
7-2 Multiplying Powers with same Base • Example 1: Simplify • = • = • Got it?? P. 426 1 a, b, c, d, e
7-2 Multiplying Powers with same Base • Example 2: Simplify: Solution MUST ALWAYS BE POSITIVE exponents ONLY. • = • = • Got it 2 P. 426 1 a, b, c, d, e
7-2 Multiplying Powers with same Base • Example 3: P. 427 At 20° C, one cubic meter of water has a mass of about 9.98 X • Each gram of water contains 3.34 X molecules of water. How many molecules does • V = 1.13 X contain?
7-2 Multiplying Powers with same Base • Example 4: Simplify • A fraction exponent means find the number when multiplied 4 times results in 81. • 9 9 = 81 • 3 3 3 3 = 81 = 81 • = 3 = 3 • Fractions or the division bar undoes the exponents or square roots it.
7-2 Multiplying Powers with same Base • Example 4: Simplify • = 3 Fractions or the division bar undoes the exponents or square roots it. • = • =
7-2 Multiplying Powers with same Base • Example 5: Simplify • = •
7-2 Multiplying Powers with same Base • Example 6: Simplify • ( )()
7-2 Multiplying Powers with same Base • Homework: P. 429 9 – 25 odds