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(3x^3)^3 Simplify

less than a minute read Jun 16, 2024
(3x^3)^3 Simplify

Simplifying (3x^3)^3

This problem involves understanding the rules of exponents. Here's how to break down the simplification:

The Rules We Need

  • Power of a Product: (ab)^n = a^n * b^n
  • Power of a Power: (a^m)^n = a^(m*n)

Step-by-Step Simplification

  1. Apply the Power of a Product Rule: (3x^3)^3 = 3^3 * (x^3)^3
  2. Apply the Power of a Power Rule: 3^3 * (x^3)^3 = 27 * x^(3*3)
  3. Simplify: 27 * x^(3*3) = 27x^9

The Final Answer

Therefore, the simplified form of (3x^3)^3 is 27x^9.

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