Simplify 8^(-10) × 8^5 × 8^4: Exponent Reduction Problem

To solve this problem, we'll follow these steps:

• Step 1: Identify the components of the expression.
• Step 2: Apply the laws of exponents.
• Step 3: Simplify the expression by combining the powers.

Now, let's work through each step:
Step 1: The given expression is $8^{-10} \times 8^5 \times 8^4$. All the bases are the same (8).
Step 2: Using the formula $a^m \times a^n = a^{m+n}$, combine the exponents:
- The combined exponent from $-10, 5,$ and $4$ is calculated as $(-10) + 5 + 4$.
Step 3: Simplify the expression:
- Calculate the sum of the exponents: $-10 + 5 + 4 = -1$.
- This simplifies to $8^{-1}$.

Therefore, the solution to the problem is $8^{-1}$.