Question

Simplify (4x³y³)(2x^2y).
A. 6x⁵y⁴
B. 8x⁵y³
C. 8x₆y³
D. 8x⁵y⁴

Answer 1

To simplify (4x³y³)(2x²y), multiply the coefficients and add the exponents for the variables with the same base. The simplified expression is 8x⁵y⁴.

Step-by-step explanation:

To simplify the expression (4x³y³)(2x²y), we can multiply the coefficients and add the exponents for the variables with the same base. In this case, we have:

• The coefficient: 4 * 2 = 8
• The variable x: 3 + 2 = 5
• The variable y: 3 + 1 = 4

Therefore, the simplified expression is 8x⁵y⁴, which is option D.