Question

determinati nr natural n din egalitatea:[(3 supra 5)^6]^10=[(9 supra25)^5]^n

Answer 1

$[( \frac{3}{5})^6]^{10}=[( \frac{9}{25})^5]^n,adica,( \frac{3}{5})^{6*10}=(\frac{3}{9})^{2*5*n},rezulta,10n=60,sau$ n=6

Answer 2

[(3 / 5)^6]^10=[(9 /25)^5]^n
[(3 /5)^60]=[(9 /25)^5n]
[(3 /5)^60]=[(3 /5)^2]^5n
[(3 /5)^60]=[(3 /5)^10n]
60=10n
n=60:10
n=6