The area of the rectangle is 72a^3b^4. What is the length of the rectangle?

Area of a rectangle is equal to W*L (given)
Width is 6ab (given)
L = area/width
[tex]\frac{72a^{3}b^{4}}{6ab} = L\\[/tex]
Solve for 72/6... 12
[tex]a = a^{1}[/tex]
[tex]\frac{12a^{3}b^{4}}{a^{1}b^{1}} = L\\[/tex]
When dividing exponents, substract the smaller one which is on the bottom from the bigger one on top
[tex]12a^{2}b^{3} = L[/tex]