Simplify the Expression: 8³ × 8⁶ Using Laws of Exponents

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 $8^9$.