Question

· Сократите дробь $frac{30 ^{n} }{2 ^{n+2} * 5 ^{n-2} }$

Answer 1

$cfrac{30^n}{2^{n+2}*5^{n-2}} = cfrac{2^n*5^n*3^n}{2^{n}*2^2*5^{n}*5^{-2}}= cfrac{3^n*5^2}{4}= cfrac{3^n*25}{4}$