## Simplifying (7^3)^3

This problem involves understanding the properties of exponents. Here's how to simplify (7^3)^3:

### Understanding the Rule

The rule we need here is: **(a^m)^n = a^(m*n)**. This means when you have a power raised to another power, you multiply the exponents.

### Applying the Rule

Let's apply this rule to our problem:

**Identify the base and exponents:**In (7^3)^3, the base is 7, and the exponents are 3 and 3.**Multiply the exponents:**Using the rule, we multiply the exponents: 3 * 3 = 9.**Rewrite the expression:**This gives us 7^9.

### The Simplified Answer

Therefore, the simplified form of (7^3)^3 is **7^9**.