If n = 0, then property 1 in Theorem 1 implies that a^ma⁰ = a^{m + 0} = am. Explain how this helps motivate the definition of a⁰.

Data from Theorem 1

Transcribed Image Text:

THEOREM 1 Exponent Properties For n and m integers and a and b real numbers, 1. ama" = am+n 2. (an) m = amn m 3. (ab) = ambm 4. m = am b b am 5. = am-n = q" b = 0 an-m a = 0 a³ a3 = a8+(-3) = a (a ²)³ = a³(-2) = a6 (ab) ² = a ²6-² (3)³ = a² = a² 65 1 a²-(-3) = 10