3 WARM UP EVALUATING NUMERICAL EXPRESSIONS 35 82 – 17 53 + 12 2(33 – 20)

2 WARM UP EVALUATING NUMERICAL EXPRESSIONS 35 82 – 17 53 + 12 2(33 – 20)

1 WARM UP EVALUATING NUMERICAL EXPRESSIONS 35 82 – 17 53 + 12 2(33 – 20)

WARM UP EVALUATING NUMERICAL EXPRESSIONS 35 82 – 17 53 + 12 2(33 – 20)

8.1 Multiplication Properties of Exponents GOAL Use multiplication properties of exponents KEY WORDS Power Base exponent

8.1 Multiplication Properties of Exponents EXPONENTIAL TERMS xy exponent base

8.1 Multiplication Properties of Exponents A base raised to an exponent means the base multiplied by itself to the number of copies represented by the exponent. 24 =2·2·2·2 =16

8.1 Multiplication Properties of Exponents PRODUCT OF POWERS To multiply powers that have the same base, you ADD the exponents. This property is called the Product of Powers Property. a2 · a3 = a · a · a · a · a = a5 (a 2+3)

8.1 Multiplication Properties of Exponents Write the expression as a single power of the base. a) 53 · 56 b) -2(-2) 4 c) x2 · x3 · x4

8.1 Multiplication Properties of Exponents Write the expression as a single power of the base. a) 42 · 43 b) (-3)(-3) 2 c) a · a7 d) n5 · n2 · n3

8.1 Multiplication Properties of Exponents POWER OF A POWER To find a power of a power, you multiply the exponents. This property is called the Power of a Power Property. (a2)3 = a2 · a2 · a2 = a 2+2+2 =a6

8.1 Multiplication Properties of Exponents Write the expression as a single power of the base. a) (33)2 b) (p4)4 c) (44)3

8.1 Multiplication Properties of Exponents Write the expression as a single power of the base. a) [(-3)5]2 b) (n4)5 c) (x3)3