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

Question

Choose the expression that corresponds to the following:

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

Video Solution

Solution Steps

00:00 Simplify the following problem

00:03 In order to open parentheses containing a multiplication operation with an outer exponent

00:07 Raise each factor to the power

00:10 We will apply this formula to our exercise

00:14 This is the solution

Step-by-Step Solution

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 $4^2 \times 2^2$ .

Answer

$4^2\times2^2$

Related Subjects

Exponent of a Multiplication

Question Types

Power of a Product: Applying the formula