Question

a) (5•3^2•3^4):9^6
b) (2^9+2^9+2^9)^5:(81•2^45)
c) 9•(2^2•2^4):8^4
d) 8^12+8^12+8^12+8^12+8^13
e) (6^5•8^3•3)^2:(2^9•0^10•9)

Answer 1

a) (5•3^2•3^4):9^6=(5•3^6):3^12=5/3^6

b) (2^9+2^9+2^9)^5:(81•2^45)=(3•2^9)^5:(3^4•2^45)=(3^5•2^45):(3^4•2^45)=3

c) 9•(2^2•2^4):8^4=9•(2^6):2^12=3^2/2^6

d) 8^12+8^12+8^12+8^12+8^13=2^36+2^36+2^36+2^36+2^39=
=2^36(1+1+1+1+2^3)=2^36•12=2^38•3

e) (6^5•8^3•3)^2:(2^9•0^10•9) =(2^5•3^5•2^9•3)^2:(2^9•3^2) =
=(2^14•3^6)^2:(2^9•3^2) =
=(2^28•3^12:(2^9•3^2) =
=2^19•3^10