(12x%5E-3y%5E5)(2xy).jpeg "(9x^2y^3)(12x^-3y^5)(2xy)")
Simplifying Expressions with Exponents
This article will guide you through simplifying the expression (9x²y³)(12x⁻³y⁵)(2xy).
Understanding the Rules
Before we begin, let's refresh our memory on the key rules of exponents:
- Product of Powers: xᵃ * xᵇ = xᵃ⁺ᵇ
- Quotient of Powers: xᵃ / xᵇ = xᵃ⁻ᵇ
- Power of a Power: (xᵃ)ᵇ = xᵃᵇ
Simplifying the Expression
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Rearrange the terms: (9 * 12 * 2) (x² * x⁻³ * x) (y³ * y⁵ * y)
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Apply the Product of Powers rule: 216 x¹ y⁹
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Simplify the exponents: 216xy⁹
Final Result
Therefore, the simplified expression for (9x²y³)(12x⁻³y⁵)(2xy) is 216xy⁹.