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5 votes
Simplify (5^-2)^4 please and thank you

1 Answer

2 votes
Answer:
1/390625
Step-by-step explanation:
(5^-2)^4
=(1/(5^2))^4
=(1/25)^4
=(1^4)/(25^4)
=1/390,625
When there is a negative in the exponent, find the reciprocal of the number. In this problem, 5^-2 became 1/(5^2) to rid of the negative in the exponent. 1/(5^2) is simplified to 1/25 which was then to the power of 4 to result in 1/390625.
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