It seems there is a typo in the question, it should be: If (1/5)^m x (1/4)^18 = 1/2(10)^35 then m = ?jzw wrote:If (1/5)^m x (1/4)^18 = 1/2(10)^36 then m = ?
How do you solve this?
(1/5)^m x (1/2²)^18 = 1/2(2 * 5)^35
(1/5)^m x (1/2)^36 = 1/{2(2^35) * (5)^35}
(1/5)^m x (1/2)^36 = 1/{(2^36) * (5)^35}
Since bases are the same, so equating the exponents, we get,
m = 35
