Expand (2·6·3)^9: Step-by-Step Product Power Calculation

To solve this problem, let's expand the expression $(2 \cdot 6 \cdot 3)^9$.

Step 1: Apply the power of a product rule: $(a \cdot b \cdot c)^n = a^n \cdot b^n \cdot c^n$.

Step 2: Identify the factors. In this case, we have three factors: $2$, $6$, and $3$.

Step 3: Apply the exponent 9 to each factor:

• $2^9$

• $6^9$

• $3^9$

Step 4: Combine these into the fully expanded form:

$2^9 \cdot 6^9 \cdot 3^9$.

Review the answer options and note that there is no choice that matches this correct form.

Therefore, none of the answer choices are correct.