Integer Exponents 2.1

Property Review: Product of Powers 2 4 · 2 5 = 2 4+5 = 2 9

Power of a Product (3 · 2)2 = (6)2 = 36

Power of a Power (22)3 2(2x3) 26 64

Zero Exponent 1250 =1

Power of a Quotient ( 2 3 ) 3 23 33 8 27

Quotient of Powers 55 52 5 5−2 5 3

Negative Exponent 5-2 1 52 1 25

PEMDAS Complete parenthesis first (3)5 · 3-8 + (7)0 3(5 -8) + (7)0 Example (5-2)5 · 3-8 + (5+2)0 Complete parenthesis first (3)5 · 3-8 + (7)0 Use properties of Exponent Rules 3(5 -8) + (7)0 Simplify 3-3 + 1 Apply rule for negative exponents and add 1 33 + 1 1 27 + 1 Final answer 1 1 27

Another Example: (3+1) 2 3 7−3 2 Simplify within the parenthesis (4) 2 3 4 2 Use Properties of exponents 4 6 4 2 Use properties of exponents 4 4 1 Simplify 265

Another Example 5- ( 6 - 4)-3 + (-2)0 5- ( 2)-3 + (-2)0 5- 1 23 + 1 5- 1 8 + 1 4 7 8 +1 5 7 8

Another Example (6−2) 4 8−4 1 (4) 4 4 1 43 1 64