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(6x^4y^6)^3 Simplified

less than a minute read Jun 16, 2024
(6x^4y^6)^3 Simplified

Simplifying (6x^4y^6)^3

This article will guide you through the process of simplifying the expression (6x^4y^6)^3.

Understanding the Properties of Exponents

Before we simplify the expression, let's review some key properties of exponents:

  • 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 property: (6x^4y^6)^3 = 6^3 * (x^4)^3 * (y^6)^3

  2. Apply the power of a power property: 6^3 * (x^4)^3 * (y^6)^3 = 6^3 * x^(43) * y^(63)

  3. Calculate the powers: 6^3 * x^(43) * y^(63) = 216x^12y^18

Therefore, the simplified form of (6x^4y^6)^3 is 216x^12y^18.

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