Review Exponent Rules SWBAT raise a power or product to a power; use the exponent rules for multiplication and division; write negative exponents as positive; solve 0 exponents

Multiplying Multiplying powers with the same base Keep the base Add the exponents (-2) 3 (-2) 2 -2●-2●-2 ● -2 ●-2 (-2) 2+3 (-2) 5

Dividing To divide exponents with the same base Keep the base Subtract the exponents 6 5 ÷ 6 2 6●6●6●6●6 6●

Zero Exponent Simplify, leave in exponential form x 5 ÷ x 5 X 5-5 X 0 What is anything divided by itself? 1 What is anything to the zero power? 1

Negative Exponents Write the exponents in factor form, cancel to reduce a 3 a 5 a*a*a__ a*a*a*a*a 1_ a 2 Now simplify using the division rule, leave in exponential form a 3 a 5 a 3-5 a -2

Negative Exponents 1_ a 2 To write a negative exponent as a positive Use the reciprocal Flip flop the part of the fraction it is on = a -2

Power to a Power Raising a power to a power Multiply the exponent outside the parenthesis with exponents inside the parenthesis Remember if you don’t see an exponent, there is an implied 1 (p 5 ) 4 p 5*4 p 20

Product to a power Raising a product to a power Distribute the power to ALL of the factors in the parenthesis (x 2 y 3 ) 2 x 2*2 y 3*2 x 4 y 6

Examples c 2 *c 3 x 2 ÷ x 5 h 4 * h 9 h 3 * h 3 7y 0 x 4 * 2x 2 (p 0 ) 24 (-1m -4 n 3 ) 11 (az) -3 4 z 3ab -2 c -2 4a -2 b (-2) 3 *4 4 *3 2 (-2*4*3) 3