Multiply the following. $$\left( \frac { 2 } { 3 } x y \right) \left( \frac { 3 } { 5 } x ^ { 2 } y ^ { 2 } \right)$$
A) $\frac { 2 } { 5 } x ^ { 3 } y ^ { 2 }$
B) $\frac { 2 } { 5 } x ^ { 2 } y ^ { 3 }$
C) $\frac { 2 } { 5 } x ^ { 3 } y ^ { 4 }$
D) $\frac { 2 } { 5 } x ^ { 2 } y ^ { 2 }$
E) $\frac { 2 } { 5 } x ^ { 3 } y ^ { 3 }$

Question

Quizplus · Accepted Answer

To multiply the given expressions, multiply the coefficients and add the exponents of like bases: $\frac{2}{3} \times \frac{3}{5} = \frac{2}{5}$, and $x^1 \times x^2 = x^{1+2} = x^3$, $y^1 \times y^2 = y^{1+2} = y^3$, resulting in $\frac{2}{5} x^3 y^3$.

Multiply the Following (23xy)(35x2y2)\left( \frac { 2 } { 3 } x y \right) \left( \frac { 3 } { 5 } x ^ { 2 } y ^ { 2 } \right)(32​xy)(53​x2y2)

Multiply the Following $\left( \frac { 2 } { 3 } x y \right) \left( \frac { 3 } { 5 } x ^ { 2 } y ^ { 2 } \right)$