%5E2(6y).jpeg "(-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
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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
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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.