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(3x4y2)4 Answer

less than a minute read Jun 16, 2024
(3x4y2)4 Answer

Simplifying Expressions: (3x⁴y²)⁴

This article explores the simplification of the expression (3x⁴y²)⁴.

Understanding the Basics

Before diving into the simplification, let's understand the key concepts:

  • Exponents: An exponent indicates how many times a base number is multiplied by itself. For example, in x⁴, 'x' is the base and '4' is the exponent.
  • Power of a Product: When raising a product to a power, each factor within the parentheses is raised to that power. For example, (ab)ⁿ = aⁿbⁿ.

Simplifying (3x⁴y²)⁴

  1. Applying the Power of a Product Rule: We raise each factor within the parentheses to the power of 4.

    (3x⁴y²)⁴ = 3⁴(x⁴)⁴(y²)⁴

  2. Simplifying Exponents: We multiply the exponents of each factor.

    3⁴(x⁴)⁴(y²)⁴ = 81x¹⁶y⁸

Final Answer

Therefore, the simplified form of (3x⁴y²)⁴ is 81x¹⁶y⁸.

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