Вычислите 2^100*(1/2)^103 (-2/3)^24*(3/2)^23

Question

Вычислите 2^100*(1/2)^103 (-2/3)^24*(3/2)^23

Answer 1

2^100*2^-103=2^-3=1/8  (1/2=2^-1)

(-2/3)^24*(3/2)^23=(2/3)^24*(2/3)-23=(2/3)^1=2/3