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Integer Exponents 2.1
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Property Review: Product of Powers
2 4 · = = 2 9
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Power of a Product (3 · 2)2 = (6)2 = 36
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Power of a Power (22)3 2(2x3) 26 64
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Zero Exponent 1250 =1
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Power of a Quotient ( 2 3 ) 3 23 33 8 27
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Quotient of Powers 55 52 5 5−2 5 3
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Negative Exponent 5-2 1 52 1 25
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PEMDAS Complete parenthesis first (3)5 · 3-8 + (7)0 3(5 -8) + (7)0
Example (5-2)5 · (5+2)0 Complete parenthesis first (3)5 · (7)0 Use properties of Exponent Rules 3(5 -8) + (7)0 Simplify Apply rule for negative exponents and add Final answer 1 1 27
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Another Example: (3+1) 2 3 7−3 2 Simplify within the parenthesis
(4) Use Properties of exponents Use properties of exponents Simplify 265
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Another Example 5- ( 6 - 4)-3 + (-2)0
5- ( 2)-3 + (-2)0 5 7 8
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Another Example (6−2) 4 8−4 1 (4) 43 1 64
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