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Simplifying (6x⁴y⁵)²
In mathematics, simplifying expressions is a fundamental skill. Let's break down how to simplify the expression (6x⁴y⁵)².
Understanding the Properties
- Exponents: An exponent indicates how many times a base number is multiplied by itself. For example, x⁴ means x * x * x * x.
- Power of a Product: When a product is raised to a power, each factor is raised to that power individually. For example, (ab)² = a²b².
Applying the Properties
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Apply the power of a product rule: (6x⁴y⁵)² = 6² * (x⁴)² * (y⁵)²
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Simplify the exponents: 6² * (x⁴)² * (y⁵)² = 36 * x⁸ * y¹⁰
Final Result
Therefore, the simplified form of (6x⁴y⁵)² is 36x⁸y¹⁰.