The product of -8x^2y and -2xy^3 using the law of exponents

The answer to your question is  16x³y⁴

Step-by-step explanation:

Data

Terms    -8x²y     and -2xy³

Process

1.- Multiply the signs

                 ( - ) ( - ) = +

2.- Multiply the coefficients

                ( 8 ) ( 2) = 16

3.- Multiply "x's"

                 ( x² ) ( x ) = ( x² ) ( x¹ ) = x² ⁺ ¹ = x³

4.- Multiply "y's"

                 ( y ) ( y³ ) = (y¹ ) ( y³ ) = y¹ ⁺ ³ = y⁴

5.- Join the results

                + 16x³y⁴ or 16x³y⁴