Find the product. $$\left( y a ^ { 3 } \right) \left( 2 y ^ { 5 } a ^ { 6 } \right) \left( 3 y ^ { 2 } a \right)$$
A) $5 y ^ { 8 } a ^ { 10 }$
B) $6 y ^ { 8 } a ^ { 10 }$
C) $6 y ^ { 12 } a ^ { 24 }$
D) $6 y ^ { 4 } a ^ { 2 }$
E)none of these

Question

Quizplus · Accepted Answer

To find the product, multiply the coefficients (1*2*3=6) and add the exponents for variables with the same base ($y^1y^5y^2 = y^{1+5+2} = y^8$ and $a^3a^6a^1 = a^{3+6+1} = a^{10}$). The correct product is $6y^8a^{10}$.

Find the Product (ya3)(2y5a6)(3y2a)\left( y a ^ { 3 } \right) \left( 2 y ^ { 5 } a ^ { 6 } \right) \left( 3 y ^ { 2 } a \right)(ya3)(2y5a6)(3y2a)

Find the Product $\left( y a ^ { 3 } \right) \left( 2 y ^ { 5 } a ^ { 6 } \right) \left( 3 y ^ { 2 } a \right)$