Find the product. $\left( 6 t ^ { 4 } x ^ { 4 } \right) \left( 5 t ^ { 2 } x ^ { 2 } \right)$
A) $11 t ^ { 6 } x ^ { 6 }$
B) $30 t ^ { 6 } x ^ { 6 }$
C) $30 t ^ { 8 } x ^ { 8 }$
D) $30 t ^ { 2 } x ^ { 2 }$
E) none of these

Question

Quizplus · Accepted Answer

To multiply two expressions together, we multiply the coefficients (numbers in front) and then add the exponents of each variable. Applying this rule, we get:
\begin{align*} (6t^4x^4)(5t^2x^2)&=30t^{4+2}x^{4+2} \ &=30t^6x^6\end{align*}
Therefore, the answer is (B) 30t^6x^6.

Find the Product (6t4x4)(5t2x2)\left( 6 t ^ { 4 } x ^ { 4 } \right) \left( 5 t ^ { 2 } x ^ { 2 } \right)(6t4x4)(5t2x2)

Find the Product $\left( 6 t ^ { 4 } x ^ { 4 } \right) \left( 5 t ^ { 2 } x ^ { 2 } \right)$