Question

1/27 * 9^24=


2^5+2^6+2^7 =


2*3^20 - 5*3^19 kreska ułamkowa i pod spodem 9^9 =

Answer 1

1/27*9^24=(1/3)^3*(3^2)^24=3^(-3)*3^48=3^(-3*48)=3^45

2^5+2^6+2^7=2^5(1+2+2^2)=2^5(1+2+4)=7*2^5=7*32=224

(2*3^20-5*3^19) / 9^9=3^19(2*3-5) / (3^3)^9=3^19(6-5)/ 3^27=3^19*1/3^27=3^(19-27)=

=3^(-8)=(1/3)^8=1/6561