Simplify the Expression: 8^a × 8^2 × 8^x Using Laws of Exponents

Question

Reduce the following equation:

$8^a\times8^2\times8^x=$

00:00 Simplify the following problem

00:04 According to the laws of exponents, multiplying exponents with the same base (A)

00:07 equals the same base raised to the sum of the exponents (N+M)

00:11 We will apply this formula to our exercise

00:15 We'll maintain the base and add the exponents together

00:24 This is the solution

To solve this problem, we'll use the property of exponents for multiplying powers with the same base:

Step 1: Identify that all terms have the same base, which is $8$ . The equation is given as $8^a \times 8^2 \times 8^x$ .
Step 2: Apply the multiplication property of exponents: $b^m \times b^n = b^{m+n}$ .
Step 3: Add the exponents: $(a) + (2) + (x)$ to get the new exponent for the single base.

By applying these steps, we obtain:

$8^{a+2+x}$

This result matches choice 1, confirming that this is the correct simplified expression.

$8^{a+2+x}$