Unit Conversion: G 6.67x10^-11 m^3*s^-2*kg^-1 to cm^3*s^2*g^-1

[Hank_Rearden]

Homework Statement

"The gravitational constant G is 6.67*10^-11 m^3*s^-2*kg^-1. What is G in units of cm^3*s^2*g^-1

Homework Equations

1kg = 1000g
1m = 100cm

The Attempt at a Solution

I don't understand how the dimension can change from [L^3,T^-2,M^-1] to [L^3,T^2,M^-1], shouldn't the dimension stay consistent even if the units change?

 

[EWH]

Yes, it's a typo, they are missing a minus sign on that "s" exponent.