𝑥 Algebra

Product of Powers

Same base: add exponents

Grade 8 · Product of Powers

Easy 20 questions Worksheet #22832 For Product of Powers

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MathDigits Worksheet

Grade 8 · Product of Powers

Easy · 20 questions · Worksheet #22832 · Product of Powers

Name: ________________________

Date: ______________ Score: ______

  1. fill Simplify: 4^4 × 4^2 = 4^? (aᵐ × aⁿ = aᵐ⁺ⁿ)
    ______________________________
  2. fill Simplify: 2^3 × 2^3 = 2^? (aᵐ × aⁿ = aᵐ⁺ⁿ)
    ______________________________
  3. fill Simplify: 2^4 × 2^3 = 2^? (aᵐ × aⁿ = aᵐ⁺ⁿ)
    ______________________________
  4. fill Simplify: 2^1 × 2^1 = 2^? (aᵐ × aⁿ = aᵐ⁺ⁿ)
    ______________________________
  5. fill Simplify: 2^2 × 2^4 = 2^? (aᵐ × aⁿ = aᵐ⁺ⁿ)
    ______________________________
  6. fill Simplify: 4^3 × 4^2 = 4^? (aᵐ × aⁿ = aᵐ⁺ⁿ)
    ______________________________
  7. fill Simplify: 2^2 × 2^1 = 2^? (aᵐ × aⁿ = aᵐ⁺ⁿ)
    ______________________________
  8. fill Simplify: 3^2 × 3^4 = 3^? (aᵐ × aⁿ = aᵐ⁺ⁿ)
    ______________________________
  9. fill Simplify: 5^4 × 5^4 = 5^? (aᵐ × aⁿ = aᵐ⁺ⁿ)
    ______________________________
  10. fill Simplify: 5^2 × 5^3 = 5^? (aᵐ × aⁿ = aᵐ⁺ⁿ)
    ______________________________
  11. fill Simplify: 4^4 × 4^3 = 4^? (aᵐ × aⁿ = aᵐ⁺ⁿ)
    ______________________________
  12. fill Simplify: 2^3 × 2^2 = 2^? (aᵐ × aⁿ = aᵐ⁺ⁿ)
    ______________________________
  13. fill Simplify: 3^2 × 3^2 = 3^? (aᵐ × aⁿ = aᵐ⁺ⁿ)
    ______________________________
  14. fill Simplify: 3^4 × 3^1 = 3^? (aᵐ × aⁿ = aᵐ⁺ⁿ)
    ______________________________
  15. fill Simplify: 5^2 × 5^2 = 5^? (aᵐ × aⁿ = aᵐ⁺ⁿ)
    ______________________________
  16. fill Simplify: 4^4 × 4^4 = 4^? (aᵐ × aⁿ = aᵐ⁺ⁿ)
    ______________________________
  17. fill Simplify: 4^2 × 4^4 = 4^? (aᵐ × aⁿ = aᵐ⁺ⁿ)
    ______________________________
  18. fill Simplify: 3^2 × 3^3 = 3^? (aᵐ × aⁿ = aᵐ⁺ⁿ)
    ______________________________
  19. fill Simplify: 5^4 × 5^3 = 5^? (aᵐ × aⁿ = aᵐ⁺ⁿ)
    ______________________________
  20. fill Simplify: 2^4 × 2^2 = 2^? (aᵐ × aⁿ = aᵐ⁺ⁿ)
    ______________________________

Updated July 2026

FAQs

What is Product of Powers?

Product of Powers (exponent product) is a algebra relationship written as Same base: add exponents or aᵐ × aⁿ = aᵐ⁺ⁿ. Students use it to solve unknowns when enough values are known.

How do you calculate Product of Powers step by step?

Write Same base: add exponents, substitute the known numbers carefully, then simplify. Worked walkthrough: 2³ × 2⁴ = 2⁷ = 128.

When is Product of Powers taught in school?

Product of Powers usually appears in algebra units during middle or secondary school. Match difficulty with MathDigits grade worksheets so practice fits the curriculum year.

What is a real example of Product of Powers?

On this page the worked result is 128. Generate a formula worksheet below for more unique practice sets.