Solve (8×2)^x: Complete the Power Expression

Question

Insert the corresponding expression:

$\left(8\times2\right)^x=$

00:00 Simplify the following problem

00:03 In order to open parentheses with a multiplication operation and an outside exponent

00:07 We raise each factor to the power

00:10 We will apply this formula to our exercise

00:16 This is the solution

Let's solve the problem by applying the power of a product rule.

Step 1: Recognize the product within the exponent. The original expression is $(8 \times 2)^x$ .
Step 2: Apply the power of a product formula, which is $(a \times b)^n = a^n \times b^n$ .

By applying this formula, we get:

$(8 \times 2)^x = 8^x \times 2^x$

Therefore, the expanded form of $(8 \times 2)^x$ is $8^x \times 2^x$ .

Thus, the solution to this problem is $8^x \times 2^x$ .

$8^x\times2^x$