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(3n^3)^2 Without Exponents

less than a minute read Jun 16, 2024
(3n^3)^2 Without Exponents

Expanding (3n^3)^2 without Exponents

The expression (3n^3)^2 involves exponents, but we can rewrite it without them using the rules of exponents. Here's how:

Understanding the Rules

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

Applying the Rules

  1. Apply the Power of a Product Rule: (3n^3)^2 = 3^2 * (n^3)^2

  2. Apply the Power of a Power Rule: 3^2 * (n^3)^2 = 3^2 * n^(3*2)

  3. Simplify: 3^2 * n^(3*2) = 9 * n^6

Final Result:

Therefore, (3n^3)^2 expanded without exponents is 9n^6.

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