Mr. Kone Math Hub · Review sheet

Integer Exponent Properties

Unit 2: Exponents & Scientific Notation · NY-8.EE.1

Notes

Keep the base, combine the exponents. The product rule adds exponents only when the bases match. (2³)(2⁵) = 2⁸, but (2³)(5³) = 10³ — that is a different rule (power of a product).

Vocabulary

• exponent: The number of times a base is used as a factor.

Practice (no calculator unless marked)

1. Which expression is equivalent to 4⁻⁵ × 4⁸?
   • A. 4⁻² / 4⁻¹
   • B. (4³)⁻¹
   • C. 4² / 4⁻¹
   • D. (4⁻¹)³
2. Which expression has a value of 1/16?
   • A. (4)⁻¹
   • B. (4)⁻²
   • C. (8)⁻²
   • D. (−8)⁻²
3. Which equation is always true?
   • A. x² · x³ = x⁵
   • B. 3x · 3² = 9²ˣ
   • C. 2z² = z²
   • D. 7ᵃ · 7ᵇ = 7ᵃᵇ
4. Which expression is equivalent to 4⁻⁵ × 4⁸?
   • A. 4⁻² / 4⁻¹
   • B. (4³)⁻¹
   • C. 4² / 4⁻¹
   • D. (4⁻¹)³
5. Which expression has a value of 1/16?
   • A. (4)⁻¹
   • B. (4)⁻²
   • C. (8)⁻²
   • D. (−8)⁻²
6. Which equation is always true?
   • A. x² · x³ = x⁵
   • B. 3x · 3² = 9²ˣ
   • C. 2z² = z²
   • D. 7ᵃ · 7ᵇ = 7ᵃᵇ
7. Which expression is equivalent to 4⁻⁵ × 4⁸?
   • A. 4⁻² / 4⁻¹
   • B. (4³)⁻¹
   • C. 4² / 4⁻¹
   • D. (4⁻¹)³
8. Which expression has a value of 1/16?
   • A. (4)⁻¹
   • B. (4)⁻²
   • C. (8)⁻²
   • D. (−8)⁻²