Choose the one alternative that best completes the statement or answers the question.
-$3 ^ { 2 } p$ ∙ $9 \mathrm { p }$ ∙ $4 \mathrm { P }$
A) $$18 ^ { 6 } \mathrm { p }$$
B) $18^2 \mathrm { p }$
C) $300 \mathrm { P }$
D) cannot be simplified

Question

Choose the one alternative that best completes the statement or answers the question. 
-$3 ^ { 2 } p$ ∙ $9 \mathrm { p }$ ∙ $4 \mathrm { P }$
A) $$18 ^ { 6 } \mathrm { p }$$
B) $18^2 \mathrm { p }$
C) $300 \mathrm { P }$
D) cannot be simplified

Quizplus · Accepted Answer

The expression can be simplified by recognizing that $3^2 = 9$ and $9 \cdot 4 = 36$, so $3^2p \cdot 9p \cdot 4p = 9p \cdot 9p \cdot 4p = 81p^3$. However, none of the provided options correctly matches this simplification, suggesting a mistake in my initial explanation. Correctly, the expression simplifies by combining like bases and multiplying coefficients: $3^2 \cdot 9 \cdot 4p^3 = 9 \cdot 9 \cdot 4p^3 = 81 \cdot 4p^3 = 324p^3$, which also does not match any of the provided options exactly. It appears there was a misunderstanding in interpreting the given expression and the provided options. The correct approach is to simplify the expression by combining the powers of 3 and multiplying, but the correct simplification or a misunderstanding in the representation of the options and the expression's interpretation might have occurred. Given the options, none directly match the expected mathematical simplification, suggesting a potential error in the question or answer choices as presented.

Choose the One Alternative That Best Completes the Statement or Answers