# If a and b are positive integers and ((1/a^2) (1/b^3))^6 = 432, what is the value of  ab?

Aug 1, 2016

If $a , b$ positive integers then ${\left(\left(\frac{1}{a} ^ 2\right) \left(\frac{1}{b} ^ 3\right)\right)}^{6} < 1$

#### Explanation:

If $a , b$ positive integers then ${\left(\left(\frac{1}{a} ^ 2\right) \left(\frac{1}{b} ^ 3\right)\right)}^{6} < 1$