Question

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Answer 1

First we rewrite the expression:
 (5 ^ -1) * (5 ^ -3)
 Using properties of exponents we have:
 (1/5) * (1 / (5 ^ 3))
 Rewriting:
 (1/5) * (1 / (125))
 1/625
 answer:
 An equivalent expression is:
 1/625
 option 1

Answer 2

Answer:
1/625

Explanation:
In case of multiplication of numbers with same base, we add the powers.
This means that:
a^x * a^y = a^(x+y)

Applying this to the given, we will find that:
(5^-1) * (5^-3) = 5^(-1-3)
                      = 5^-4
                     = 1/625

Hope this helps :)