Question

Calculați:3^101:9^50

Answer 1

3^101: (3^2)^50=3^101:3^(2*50)=3^101:3^100=3^(101-100)=3^1=3

Answer 2

${3}^{101} : {9}^{50} = \\ \\ {3}^{101} : { {(3}^{2}) }^{50} = \\ \\ {3}^{101} : {3}^{100} = \\ \\ {3}^{101 - 100} = \\ \\ {3}^{1} = \\ \\ 3$