`1 kg m^(2) s^(-2) = ...... g cm^(2) s^(-2)`

Explanation

1 kg `m^(2)s^(-2) = 1 (kg xx m^(2))/(s^(2))`
`because" "1 kg = 1000 g = 10^(3)g`
1 m = 100 cm `= 10^(2)` cm
`therefore" "1 (kg xx m^(2))/(s^(2)) = (1 xx 10^(3) xx (10^(2))^(2))/(1) (g xx cm^(2))/(s^(2))`
`= 10^(7) g cm^(2) s^(-2)`