Question

Упростить 24^2n+1/3^2n-1 2^6n-1
Помогите

Answer 1

$frac{24^{2n+1}}{3^{2n-1}*2^{6n-1}} = frac{3^{2n+1}*8^{2n+1}}{3^{2n-1}*2^{6n-1}} = frac{3^{2n+1}*2^{6n+3}}{3^{2n-1}*2^{6n-1}} = 3^{(2n+1)-(2n-1)} * \ * 2^{(6n+3)-(6n-1)} = 3^2 * 2^4 = 9*16 = 144$