Find the product. $\left( 7 y ^ { 6 } x ^ { 6 } \right) \left( 2 y ^ { 2 } x ^ { 4 } \right)$
A) $16 y ^ { 9 } x ^ { 11 }$
B) $14 y ^ { 8 } x ^ { 10 }$
C) $14 y ^ { 4 } x ^ { 2 }$
D) $14 y ^ { 12 } x ^ { 24 }$
E) $9 y ^ { 8 } x ^ { 10 }$

Question

Quizplus · Accepted Answer

To find the product, multiply the coefficients (7 and 2) and add the exponents of like bases: $7 \times 2 = 14$, $y^{6+2} = y^8$, and $x^{6+4} = x^{10}$. Thus, the product is $14y^8x^{10}$.

Find the Product (7y6x6)(2y2x4)\left( 7 y ^ { 6 } x ^ { 6 } \right) \left( 2 y ^ { 2 } x ^ { 4 } \right)(7y6x6)(2y2x4)

Find the Product $\left( 7 y ^ { 6 } x ^ { 6 } \right) \left( 2 y ^ { 2 } x ^ { 4 } \right)$