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

Insert the corresponding expression:

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

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 $8^x \times 2^x$.