What is the dimension formula of power and pressure​

Power = ML²T⁻³

Pressure = ML⁻¹T⁻²

Explanation:

Applying,

Power(P) = Work(W)/Time(t)

P = W/t Equation 1

But

W = Fd Equation 2

Where F = force, d = distance

Also,

F = ma Equation 3

Where m = mass, a = acceleration.

Also,

a = v/t  Equation 4

Where v = velocity

Also,

v = d/t Equation 5

Where d = distance

Substitute equation 5 into equation 4

a = d/t² Equation 6

Substitute equation 6 into equation 3

F = m(d/t²) Equation 7

Susbtitute equation 7 into equation 2

W = m(d/t²)×d

W = md²/t² Equation 8

Substitute equation 8 into equation 1

P = (md²/t²)/t

P = md²/t³ Equation 9

In dimension,

mass(m) = M, distance(d) = L, time(t) = T

Substitute into equation 9

P = ML²/T³

P = ML²T⁻³

And

Pressure(R) = Force(F)/Area(A)

R = F/A Equation 10

F = md/t²,

A = d²

Susbtitute into equation 10

R = (md/t²)/d²

R = m/t²d

Therefore,

R = ML⁻¹T⁻²

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