Use the product rule to simplify. Write the results using exponents.
-$\left( - 9 x ^ { 3 } y \right) \left( - 9 x ^ { 5 } y ^ { 2 } \right)$
A)- $- 81 x ^ { 8 } y ^ { 2 }$
B) $81 x ^ { 15 } y ^ { 2 }$
C) $- 81 x ^ { 8 } y ^ { 3 }$
D)81 $81 x ^ { 8 } y ^ { 3 }$

Question

Quizplus · Accepted Answer

The product rule states that when multiplying like bases, you add the exponents. $(-9)(-9) = 81$, $x^{3+5} = x^8$, and $y^{1+2} = y^3$.

Use the Product Rule to Simplify (−9x3y)(−9x5y2)\left( - 9 x ^ { 3 } y \right) \left( - 9 x ^ { 5 } y ^ { 2 } \right)(−9x3y)(−9x5y2)

Use the Product Rule to Simplify $\left( - 9 x ^ { 3 } y \right) \left( - 9 x ^ { 5 } y ^ { 2 } \right)$