Complete the Expression: (4×6) Raised to Power (b+2)

To solve this problem, we will apply the power of a product rule. This rule states that when we have a product inside a power, such as $(a \times b)^n$, it can be rewritten as $a^n \times b^n$. Here, our expression is $(4 \times 6)^{b+2}$.

Let's apply this rule step by step:

• Identify the base of the expression: $4 \times 6$.
• The exponent applied to this base is $b + 2$.
• Apply the power of a product rule: $(4 \times 6)^{b+2} = 4^{b+2} \times 6^{b+2}$.

By distributing the exponent $b + 2$ to each factor of the product, we successfully rewrite the expression using the laws of exponents. The rewritten expression is $4^{b+2} \times 6^{b+2}$.

Therefore, the final answer to the problem is $4^{b+2} \times 6^{b+2}$.