The Quotient of Powers property states that to divide powers with the same base, you subtract the exponents. This works because exponents indicate how many times the base is multiplied, so dividing by a power is represented by subtracting it. The property holds true for negative exponents as well, following the same rules as integers, but using zero as a base results in an unknown value.

1. Quotient Of
Powers Property
By Bebe, Lake and Sydney

2. Quotient Of Powers Property
 To divide powers with the same base,
subtract the exponents.

3. Algebraic Representation
푎푚
푎푛 = 푎푚 −푛

4. Numerical Example
37
32 = 37 −2= 35

5.  The Quotient of Powers property works with
the basic definition of exponents because
the number of times that the base is
multiplied is indicated by the power so
when dividing by a power you just subtract
it.

6. Does zero or negative numbers in
your property effect its outcome?
 Yes, exponents follow the same rules as
normal integers with negative numbers,
for example:
2−2
24 = 2−2 − 4 = 2−6
 Zero as a base does effect the outcome,
for instance:
03
02 =
0 ∗0 ∗0
0 ∗0
= Unknown