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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

User Satyendra
by
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2 Answers

6 votes

Answer:

the answer is c

User Ralf Ulrich
by
5.7k points
3 votes

Answer:

25

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

User Pedro Batista
by
5.8k points