Question

find the exact value of the logarithmic expression.
log(1/5)^625

Answer 1

-69897/160

Answer 2

the only answers i have for this question are
a) -1/4
b) -4
c) 1/4
d) 4

Answer 3

Then it'd be -4, because a negative exponent gives you the reciprocal (switch the fraction from 1/5 to 5/1) and then 5^4=625.
The reason i got that huge fraction before is because I thought you meant: \[\log_{10}(1/5)^{625} \]