Question

if 82944=2m x 3n then find m,n​

Answer 1

Answer:

m = 10 and n = 4

Step-by-step explanation:

$heya! \\\\ 82944 \ can \ be \ written \ as : \ \\\\=> 82944 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 3 * 3 * 3 * 3 [ =>* \ indicates \ multiplication] \\\\ => 82944 = (2^{1+1+1+1+1+1+1+1+1+1} ) (3^{1+1+1+1} ) \\\\ => 82944 = (2^{10} )(3^{4}) = (2^{m})(3^{n})\\\\ => m = 10 \ and \ n = 4$