Find the product. $\left( 2 x ^ { n } \right) \left( 3 x ^ { 4 n } \right)$ Assume that the variables in the exponents represent positive integers; for example, $\left( x ^ { 2 n } \right) \left( x ^ { 4 n } \right) = x ^ { 2 n + 4 n } = x ^ { 6 n }$ .
A) $5 x ^ { 3 n }$
B) $6 x ^ { 5 n }$
C) $6 x ^ { 3 n }$
D) $5 x ^ { 5 n }$
E) $6 x ^ { 7 n }$

Question

Quizplus · Accepted Answer

The coefficients 2 and 3 multiply to give 6. The exponents add: $n + 4n = 5n$. Thus, the product is $6x^{5n}$.

Find the Product (2xn)(3x4n)\left( 2 x ^ { n } \right) \left( 3 x ^ { 4 n } \right)(2xn)(3x4n)

Find the Product $\left( 2 x ^ { n } \right) \left( 3 x ^ { 4 n } \right)$