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Exponent Laws Practice
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Exponent Laws Practice
🎯 WALT: We Are Learning To apply exponent laws to simplify algebraic expressions
Success Criteria:
• I can apply the product rule: a^m × a^n = a^(m+n)
• I can apply the quotient rule: a^m ÷ a^n = a^(m-n)
• I can apply the power rule: (a^m)^n = a^(mn)
📚 Part 1: Multiple Choice - Choose the correct simplified form
1. Simplify: x³ × x⁵
x⁸
x¹⁵
x²
2x⁸
2. Simplify: y⁷ ÷ y³
y⁴
y²¹
y¹⁰
4y
3. Simplify: (m²)⁴
m⁶
m⁸
4m²
2m⁸
4. Which laws apply to simplifying (3a²)³? (Select all that apply)
Product rule
Quotient rule
Power rule
Power of a product rule
✏️ Part 2: Show Your Working
5. Simplify: a⁴ × a⁻² (Show all steps)
6. Simplify: (2x³y²)² (Show all steps)
7. Simplify: _______________
12p⁶q³
-------
3p²q
8. Hinge Point Question: Jake says that x⁰ = 0. Explain whether Jake is correct or incorrect, and give the actual value of x⁰ (where x ≠ 0).
🚀 Extension Challenge
9. Advanced: Simplify completely: (5a⁻²b³)⁻¹ × (a⁴b⁻¹)²
10. Real-world Application: In scientific notation, the mass of an electron is approximately 9.1 × 10⁻³¹ kg. If we have 10⁶ electrons, express the total mass using exponent laws.
Exit Ticket: Write one example demonstrating an exponent law and explain the steps in your own words.
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