a^m × a^n = a^(m+n)
means that when you take a number, a, multiplied by itself m times, and multiply that by the same number a multiplied by itself n times, it's the same as taking that number a and raising it to a power equal to the sum of m and n.
To prove this, we can verify it numerically:
Let us take,
a = 10
m = 2
n = 5
Now,
10² × 10⁵ = 10²+⁵
100 × 100000 = 10⁷
10000000 = 10000000
Another example,
Let us take,
a = 2
m = 0
n = 3
Now,
2⁰ × 2³ = 2⁰+³
1 × 8 = 2³
8 = 8
