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

Jasonbradley

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Jun 16, 2024

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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.