(3x^2y)^3 Simplify

Jasonbradley

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Jun 16, 2024

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Simplifying (3x²y)³

This expression involves raising a monomial to a power. To simplify, we'll use the following rules of exponents:

• (ab)ⁿ = aⁿbⁿ (The power of a product is the product of the powers)
• (aⁿ)ᵐ = aⁿᵐ (A power raised to another power is the product of the exponents)

Let's break down the simplification step-by-step:

1. Apply the first rule: (3x²y)³ = 3³(x²)³y³

2. Apply the second rule: 3³(x²)³y³ = 27x⁶y³

Therefore, the simplified expression is 27x⁶y³