Use the product rule to simplify the expression. Write the result using exponents.
-$\left( 8 p ^ { 9 } \right) \left( - 7 p ^ { 8 } \right)$
A) $56 \mathrm { p } ^ { 72 }$
B) $56 p ^ { 17 }$
C) $- 56 p ^ { 72 }$
D) $- 56 p ^ { 17 }$

Question

Quizplus · Accepted Answer

When multiplying powers with the same base, you add the exponents. Thus, $8 \times -7 = -56$ and $p^9 \times p^8 = p^{9+8} = p^{17}$, making the correct answer $-56p^{17}$.

Use the Product Rule to Simplify the Expression (8p9)(−7p8)\left( 8 p ^ { 9 } \right) \left( - 7 p ^ { 8 } \right)(8p9)(−7p8)

Use the Product Rule to Simplify the Expression $\left( 8 p ^ { 9 } \right) \left( - 7 p ^ { 8 } \right)$