What is the value of n in the expression for Q using dimensional analysis?

[Physicsnoob90]

Homework Statement

Using Dimensional Analysis, determine the value of (n) in the expressions for Q.

The Equation: Q = pie R^n (p2-p1) / 8 ηL

Homework Equations

Given:
[Q] = [L]^3 / [T}
[L] = [L]
[R] = [L]
[p2 and p1] = [M] / {[L][T]^2}
[η] = [M] / {[L][T]}

pie, 8, and n don't has no dimensions.

The Attempt at a Solution

I tried to attempt it, but could't get past the stage where you plug in all the dimensions

 

[rude man]

You have, from your equation,

L³T^-1 = Lⁿ ML^-1T^-2 LTM^-1

so combine the L's, T's and M's and solve for n.