(-5x^3y^4)^2(6y)

2 min read Jun 16, 2024
(-5x^3y^4)^2(6y)

Simplifying the Expression (-5x^3y^4)^2(6y)

This article will guide you through the process of simplifying the mathematical expression (-5x^3y^4)^2(6y).

Understanding the Steps

  1. Apply the exponent:
    We begin by simplifying the expression inside the parentheses by squaring it. Remember that squaring a term means multiplying it by itself. Therefore, (-5x^3y^4)^2 is equivalent to (-5x^3y^4)(-5x^3y^4).

    • (-5x^3y^4)^2 = (-5)^2 * (x^3)^2 * (y^4)^2 = 25x^6y^8
  2. Multiply by the remaining term: Now we have 25x^6y^8 multiplied by 6y.

    • 25x^6y^8 * 6y = 150x^6y^9

Final Result

The simplified form of the expression (-5x^3y^4)^2(6y) is 150x^6y^9.

Key Takeaways

  • When squaring an expression with multiple terms, you square each individual term within the parentheses.
  • When multiplying exponents with the same base, you add the powers.
  • Remember to apply the order of operations (PEMDAS/BODMAS) for accurate simplification.

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