Solve (4×2)² : Order of Operations with Squares

Choose the expression that corresponds to the following:

$\left(4\times2\right)^2=$

To solve the problem $\left(4\times2\right)^2$, we need to apply the power of a product exponent rule. This rule states that $(ab)^n = a^n \times b^n$.

Here, $a = 4$, $b = 2$ and $n = 2$.

• Step 1: Apply the power of a product rule: $\left(4 \times 2\right)^2 = 4^2 \times 2^2$.

Thus, the expression $\left(4\times2\right)^2$ is equivalent to $4^2 \times 2^2$.