a: \(\frac12x^3y^2\cdot\left(4x^5y^2\right)^0\cdot\left(-\frac23xy^2\right)\)
\(=\left(-\frac12\cdot\frac23\right)\cdot x^3\cdot x\cdot y^2\cdot y^2=-\frac13x^4y^4\)
b: \(2x^2y^2+\frac12\cdot xy-4x^2y^2-xy+\frac15-3xy\)
\(=\left(2x^2y^2-4x^2y^2\right)+\left(\frac12xy-xy-3xy\right)+\frac15\)
\(=-2x^2y^2-\frac72xy+\frac15\)
