(3a^3)^2 Without Exponents

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

Simplifying (3a^3)^2 Without Exponents

This expression involves exponents and can be simplified by understanding the rules of exponents.

Understanding the Rules

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

Simplifying the Expression

  1. Apply the power of a product rule: (3a^3)^2 = 3^2 * (a^3)^2

  2. Apply the power of a power rule: 3^2 * (a^3)^2 = 9 * a^(3*2)

  3. Simplify the exponent: 9 * a^(3*2) = 9 * a^6

Final Result

Therefore, (3a^3)^2 simplified without exponents is 9a^6.

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