Multiply - 4xy³ and 6x²y and verify your result for x = 2 and y = 1.

(- 4xy³) $\times$ (6x²y)

= - 24x⁽¹⁺²⁾y⁽³⁺¹⁾

= - 24x³y⁴

Hence, (- 4xy³) $\times$ (6x²y) = - 24x³y⁴

Putting x = 2 and y = 1

Taking LHS:

(- 4xy³) x (6x²y)

= (- 4 x 2 x 1³) x (6 x 2² x 1)

= (- 4 x 2 x 1) x (6 x 4 x 1)

= (- 8) x (24)

= - 192

Taking RHS:

- 24x³y⁴

= - 24 x 2³ x 1⁴

= - 24 x 8 x 1

= - 192

Hence, LHS = RHS

So, (- 4xy³) $\times$ (6x²y) = - 24x³y⁴