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(x^3y)^6

less than a minute read Jun 17, 2024
(x^3y)^6

Simplifying the Expression (x³y)⁶

This article will guide you through simplifying the expression (x³y)⁶.

Understanding the Rules of Exponents

To simplify this expression, we need to understand the following rules of exponents:

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

Applying the Rules to Simplify

  1. Apply the power of a product rule: (x³y)⁶ = x³⁶ * y⁶
  2. Apply the power of a power rule: x³⁶ * y⁶ = (x³)^⁶ * y⁶ = x¹⁸ * y⁶

The Simplified Expression

Therefore, the simplified form of (x³y)⁶ is x¹⁸y⁶.

Key Points

  • Remember to apply the correct rules of exponents in the right order.
  • The simplified expression will have the variables raised to different powers based on the original expression.

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