Exponent Rules Worksheet
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Exponent Rules Worksheet
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Worked Example
Problem: Simplify: (x²y³)⁴ / x⁵
- (x²)⁴ · (y³)⁴ / x⁵ = x⁸y¹² / x⁵— Apply power rule: multiply exponents.
- x⁸⁻⁵ · y¹²— Apply quotient rule for x.
- x³y¹²— Simplify.
Answer: x³y¹²
Frequently Asked Questions
Product: xᵃ · xᵇ = xᵃ⁺ᵇ. Quotient: xᵃ / xᵇ = xᵃ⁻ᵇ. Power: (xᵃ)ᵇ = xᵃᵇ. Zero: x⁰ = 1. Negative: x⁻ⁿ = 1/xⁿ.
No. The product rule only applies when bases are the same.
2x³ = 2·(x³). (2x)³ = 2³·x³ = 8x³. Only x is cubed in the first; both are cubed in the second.