Question

The number 160 can be written in the form
2n 5.

Find the value of n. 

Answer 1

$160|2 \\ 80|2 \\ 40|2 \\ 20|2 \\ 10|2 \\ 5 \ |5 \\ 1 \\\\ 160=2^n*5 \\\\\boxed{160=2^5*5} \\\\ \to \boxed{n\to5}}$

Answer 2

$2 n^{5} = 160\\ n^{5} = 80\\n^{5} = 2 X 2 X 2 X 2 X 2\\\\n^{5} = 2 ^{5}\\\\\boxed{ n= 2\ Answer}$