What is the product of (5 Superscript negative 1 Baseline) (5 Superscript negative 3 Baseline) ? StartFraction 1 Over 625 EndFraction StartFraction 1 Over 25 EndFraction 25 125

25

Step-by-step explanation:

Given the indicinal equation

5^-1/5^-3

According to one of the law of indices, if a, b, m and n are integers then;

a^m/a^n = a^ (m-n)

When the base are equal, the powers will be subtracted.

Applying this formula to the given expression

5^-1/5^-3

= 5^{-1 - (-3) }

= 5^ (-1+3)

= 5^2

= 25

Therefore the answer is 25