Complete the Expression: (4×6)^b Power Problem

To solve this problem, we will follow these steps:

• Identify the given expression: $(4 \times 6)^b$.
• Apply the power of a product rule: $(a \times b)^n = a^n \times b^n$.
• Separate the expression by distributing the exponent to both elements in the product.

Now, let us apply these steps:

The expression we start with is $(4 \times 6)^b$. According to the power of a product rule, $(a \times b)^n = a^n \times b^n$, we distribute the exponent $b$ to each base:

$(4 \times 6)^b = 4^b \times 6^b$.

Therefore, the expression $(4 \times 6)^b$ can be rewritten as $4^b \times 6^b$, which corresponds to choice 1.