The dimensional formula for specific resistance (resistivity) is:
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Instead of deriving everything from scratch, remember the resistance dimension $[M L^2 T^{-3} A^{-2}]$. Since resistivity multiplies resistance by a unit of length ($[L]$), simply increase the exponent of $L$ by $1$ to get $[M L^3 T^{-3} A^{-2}]$.