Question

Find the product of $4x^{3}y$ and $2x^2{y}^2$.

• A. $8x^6{y}^2$
• B. $8x^5{y}^3$
• C. $6x^6{y}^2$
• D. $6x^5{y}^3$

Answer 1

The correct option is B $8x^5{y}^3$

$4x^{3}y\times 2x^2{y}^2=4\times x^3\times y\times 2\times x^2\times y^2$
=$(4\times 2)(x^3\times x^2)(y\times y^2)$
=$8x^5{y}^3$
[$\because a^m\times a^n=a^{m+n}]$