5^-3 divided by 5^-1
To divide two numbers with the same base but different exponents, you subtract the exponent in the denominator from the exponent in the numerator.
So, 5^-3 divided by 5^-1 can be simplified as:
5^(-3-(-1))
= 5^(-3+1)
= 5^(-2)
= 1/5^2
= 1/25
Therefore, 5^-3 divided by 5^-1 equals 1/25.