Question

Convert a power of one mega watt on a system whose fundamental units are 10 kg, 1 dm and 1 minute.

Answer 1

1MW=10^(6)
M1=kg. M2=10kg.
L1=cm. 1cm=10dm. L2=dm.
T1=s. T2=1m. 1m=60s.
n1= n2*[M1/M2]*[L1/L2]*[T1/T2]
n2=10^(6)
n1=10^(6)*[kg/10kg]*[cm/dm]^(2)*[s/1min]^(-3);
n1= 10^(6)*[1/10]*[10dm/dm]^(2)[s/60s]^(-3);
n1=10^(6)*1/10*100*60^(3);
n1=10^(6)*1/10*100*216000;
n1=10^8*2.16*10^(4);
n1=2.16*10^(12);

Answer 2

1 MW=10⁶ 
M₁=kg , M₂=10 kg.
L₁=cm. 1 cm=10 dm , L₂= dm. 
T₁=s , T₂=1m. 1m=60s
n₂=10⁶
As Power = [ML²T⁻³]
Here a=1, b=2, c=-3
n₁= n₂ ₓ [M₁/M₂]ᵃ ₓ [L₁/L₂]ᵇ ₓ [T₁/T₂]ⁿ
n₁=10⁶ ₓ [kg/10 kg] ₓ [cm/dm]² ₓ [s/1 min]⁻³
n₁= 10⁶ ₓ [1/10] ₓ [10 dm/dm]² ₓ [s/60 s]⁻³
n₁=10⁶ ₓ 1/10 ₓ 100 ₓ 60³
n₁=10⁶ ₓ 1/10 ₓ 100 ₓ 216000
n₁=10⁸ ₓ 2.16 ₓ 10⁴
n₁=2.16 ₓ 10¹²