The expression that is equivalent to (5^-2)^5 x 5^4 from the given equations is c)1/5^6.
To determine this expression , we will need to simplify the equation ,so as to know the equivalent expression.
The expression that is been given from the question is (5^-2)^5 x 5^4
This expression can be simplified as (5^-10) * (5^4)
Then this expression can be further simplified as :
5^-6
Then this can as well be simplified as 1/(5^6)
This implies that the best option that can be equated with this equation is 1/(5^6).
Therefore, option C is correct.
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