Simplify the Expression: 8³ × 8⁶ Using Laws of Exponents

Simplify the following equation:

$8^3\times8^6=$

Video Solution

Solution Steps

00:06 Let's simplify this problem together.

00:10 Remember, when multiplying exponents with the same base, like A,

00:15 we keep the base A and add the exponents, N plus M.

00:20 Let's use this rule to solve our exercise.

00:23 Add the exponents and raise the base to this power.

00:28 And there you have it, that's the solution!

Step-by-Step Solution

To solve this problem, we'll use the properties of exponents to simplify the expression:

Step 1: Identify the bases and exponents in the expression $8^3 \times 8^6$ .
Step 2: Apply the product of powers property, which states $a^m \times a^n = a^{m+n}$ when the bases are the same.
Step 3: Add the exponents: $3 + 6 = 9$ .

Now, let's work through these steps:

Step 1: Both terms, $8^3$ and $8^6$ , have the same base, 8.

Step 2: According to the product of powers property, we add the exponents: $8^{3+6}$ .

Step 3: Simplifying the exponents gives us $8^9$ .

Therefore, the simplified expression is $8^9$ .