x^{5}y^{2}(2x^{2})

The expression x^{5}y^{2}(2x^{2}) can be simplified as follows:

x^{5} * y^{2} * (2x^{2})
= 2 * x^{5} * x^{2} * y^{2} (Rearranging terms)
= 2 * x^{(5+2)} * y^{2} (Using the product of powers rule)
= 2 * x^{7} * y^{2} (Adding exponents of x)
= 2x^{7}y^{2} (Putting the terms together)

So, the simplified expression is 2x^{7}y^{2}.