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(7^3)^3 Simplified

less than a minute read Jun 16, 2024
(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:

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

The Simplified Answer

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

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