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

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!