(6xy 5 ) 3

Jasonbradley

2 min read

·

Jun 16, 2024

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Simplifying (6xy^5)^3

This expression involves raising a product of terms to a power. Let's break down how to simplify it:

Understanding the Rules

• Power of a product: When a product is raised to a power, each factor within the product is raised to that power.
  • (ab)^n = a^n * b^n
• Power of a power: When a power is raised to another power, the exponents are multiplied.
  • (a^m)^n = a^(m*n)

Applying the Rules

Let's apply these rules to (6xy^5)^3:

1. Apply the power of a product rule: (6xy^5)^3 = 6^3 * x^3 * (y^5)^3

2. Apply the power of a power rule: 6^3 * x^3 * (y^5)^3 = 6^3 * x^3 * y^(5*3)

3. Simplify the exponents: 6^3 * x^3 * y^(5*3) = 216 * x^3 * y^15

Final Answer

Therefore, the simplified form of (6xy^5)^3 is 216x^3y^15.