Answer
a. Product of Powers Property
b. Negative Exponents Property
c. Power of a Product Property
Work Step by Step
A list of the names can be found at the beginning of the section. The list of all of the rules is listed below for convenience.
We know the following rules of exponents:
$$ (1) \ a^m\cdot a^n = a^{m+n} \\ (2) \ (ab)^m =a^mb^m \\ (3) \ (a^m)^n =a^{mn} \\ (4)
\ a^{-m} = \frac{1}{a^m} \\ (5)\ \frac{a^m}{a^n} =a^{m-n} \\ (6) \ a^0=1 \\ (7) \ (\frac{a}{b})^m =\frac{a^m}{b^m}$$
