%5E3-simplified.jpeg "(7^3)^3 Simplified")
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.