Can someone please explain why the following does not work out to the same answer:
(1) (1/5)^n > 25
= 5^-n > 5^2
= -n>2
=N< -2
(2) (1/5)^n>25
= (1/5)^n > (1/5)^-2
= N>-2
Why am I coming out with two different answers? They should both be the same, since all I'm doing in #1 is factoring the left side into an exponent of 5, and in #2, I'm factoring the right side into an exponent of 1/5.
(1) (1/5)^n > 25
= 5^-n > 5^2
= -n>2
=N< -2
(2) (1/5)^n>25
= (1/5)^n > (1/5)^-2
= N>-2
Why am I coming out with two different answers? They should both be the same, since all I'm doing in #1 is factoring the left side into an exponent of 5, and in #2, I'm factoring the right side into an exponent of 1/5.
