Question

Cum se calculeaza ($10^{n}$ - $4^{n}$ ) : ($5^{n} - 2^{n}$ ) ?

Answer 1

10 la n-4 la n=2(5 la n-2 la n);fiiind impartire(sau fractie)se simplifica 5 la n-2 la n si rezulta 2

Answer 2

$(10^{n} -4^{n}) : (5^{n}-2^{n}) = [(2*5)^{n} -(2*2)^{n}] : (5^{n}-2^{n}) =$$\frac{2^n*5^n-2^n*2^n}{5^n-2^n} = \frac{2^n(5^n-2^n)}{5^n-2^n} = 2^n$