## Simplifying Exponents: (7^-8)(7^3)

This problem involves simplifying an expression with exponents. Here's how to solve it:

### Understanding the Rules

**Product of Powers:**When multiplying exponents with the same base, you add the powers. Mathematically, this is:**x^m * x^n = x^(m+n)**

### Applying the Rule

**Identify the base:**In this case, the base is 7.**Add the exponents:**We have -8 + 3 = -5**Combine the base and the new exponent:**This gives us 7^-5

### Dealing with Negative Exponents

**Negative exponents indicate reciprocals:**7^-5 is the same as 1/7^5.

### Final Solution

Therefore, (7^-8)(7^3) simplifies to **1/7^5** or **1/16,807**.