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(3x 4 Y 3 ) 2

2 min read Jun 16, 2024
(3x 4 Y 3 ) 2

Simplifying the Expression (3x⁴y³) 2

This expression represents the squaring of a monomial, which is a single term consisting of a numerical coefficient and one or more variables with exponents.

To simplify this expression, we can use the following rules of exponents:

  • (a^m)^n = a^(m*n)

Let's break down the simplification:

  1. Distribute the exponent: (3x⁴y³) 2 = 3² * (x⁴)² * (y³) ², since we're squaring the entire expression.

  2. Apply the rule of exponents: 3² * x^(42) * y^(32) = 9x⁸y⁶

Therefore, the simplified form of (3x⁴y³) 2 is 9x⁸y⁶.

Key takeaways:

  • When raising a monomial to a power, each factor (coefficient and variables) is raised to that power.
  • The exponents of the variables are multiplied by the power outside the parentheses.

This process can be applied to any expression with a monomial raised to a power. Remember to simplify each factor individually using the appropriate rules of exponents.

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