Question

Calculați (2 la1 ×.2la 2 ×2 la 3 .... x 2 la 50) : ( 2 la 17)la75

Answer 1

$N1=2^1 *2^2 *...*2^{50}=2^{1+2+3+...+50}=2^{50*51/2}=2^{1275}$
$N2=(2^{17})^{75}=2^{1275}$
$\frac{N1}{N2}=\frac{2^{1275}}{2^{1275}}=1$