# Math Help - algerbra

1. ## algerbra

If $a^2b^3 = 1323$ and a and b are integers, find the values of a and b. I'd like to know a method that doesnt involve guess and check

2. I am not sure what you mean by guess and check but the way I would do is to pick an arbitrary value for b and then solve for a. It may be ugly but it works. There are two variables there so you do not have a unique solution.

3. actually, the two numbers have to be intergers (ie whole positive numbers) so there is only one solution. The answers are a=7, b=3- so is there a proper method to solving these problems.