I noticed this PS question and wanted to get some feedback:
(1/5)^m * (1/4)^18 = 1 /2(10)^35
so I approached it this way:
i)5^-m * 4 ^ -18 = 2(10)^-35
ii)20 ^ (-m + -18) = 2(10)^-35
iii)2(10)^(-m - 18) = 2(10)^-35
iv) -m - 18 = -35
v) -m = -17
m = 17 which is one of the answer choices. Is this correct?
Thank you.
(1/5)^m * (1/4)^18 = 1 /2(10)^35
so I approached it this way:
i)5^-m * 4 ^ -18 = 2(10)^-35
ii)20 ^ (-m + -18) = 2(10)^-35
iii)2(10)^(-m - 18) = 2(10)^-35
iv) -m - 18 = -35
v) -m = -17
m = 17 which is one of the answer choices. Is this correct?
Thank you.
