Evaluate (2×3)² : Order of Operations with Square Numbers

The given expression is $\left(2\times3\right)^2$. We need to apply the rule of exponents known as the "Power of a Product." This rule states that when you have a product raised to an exponent, you can apply the exponent to each factor in the product individually. Mathematically, this is expressed as: $(a \times b)^n = a^n \times b^n$.

In this case, the expression $\left(2\times3\right)^2$ follows this rule with $a = 2$ and $b = 3$, and $n = 2$.

• First, apply the exponent to the first factor: $2^2$.
• Next, apply the exponent to the second factor: $3^2$.

Therefore, by applying the "Power of a Product" rule, the expression becomes: $2^2 \times 3^2$.