Exponent Laws Mastery
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Exponent Laws Mastery
Multiply same base: aᵐ × aⁿ = aᵐ⁺ⁿ
Divide same base: aᵐ ÷ aⁿ = aᵐ⁻ⁿ
Power of a power: (aᵐ)ⁿ = aᵐⁿ
Zero index: a⁰ = 1 (a ≠ 0)
Negative index: a⁻ⁿ = 1/aⁿ (a ≠ 0)
Power of a product: (ab)ⁿ = aⁿbⁿ
Stage 1: Number codes
Warm up by simplifying and evaluating. Keep fractions exact.
- A. 2⁴
- B. 4⁻¹
- C. 16²
- D. 2⁻⁴
Stage 2: Algebra lock
Simplify each expression. Assume the variables are non-zero when they appear in denominators.
- (b²)⁴
- c⁵ ÷ c⁷
- (2d)²
- 1/c²
- 4d²
- b⁸
Stage 3: Final unlock
Use more than one index law where needed. Show the changes to the indices.
2 printable pages
Page 1
Page 2
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