Complete the Expression: (3×4) Raised to Power (3x+1)

To solve this problem, we will apply the power of a product rule.

• Step 1: Identify the given expression $(3 \times 4)^{3x+1}$.

• Step 2: Apply the power of a product rule: $(ab)^n = a^n \times b^n$.

• Step 3: Rewrite the expression using the rule:

By applying $(3 \times 4)^{3x+1} = 3^{3x+1} \times 4^{3x+1}$, we distribute the exponent to each base within the parentheses.

Therefore, the correct expression is $3^{3x+1} \times 4^{3x+1}$.