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Exponent Rules Practice

Multiply the same base: add the exponents. Divide: subtract them. Power of a power: multiply them.

By Nethanel Bar, Co-founder & CEO

Last updated

Simplify.

12 problems

  1. 1.
    x^8 × x^4
  2. 2.
    5x³ × 3x²
  3. 3.
    x^6 / x^8
  4. 4.
    20x^18 / (2x²)
  5. 5.
    (x^5)³
  6. 6.
    x^5 × x³ / x^6
  7. 7.
    x² × x^6
  8. 8.
    8x³ × 3x²
  9. 9.
    x^6 / x^5
  10. 10.
    x² × (x^5)²
  11. 11.
    (x²)^5 × x³
  12. 12.
    (x^4)^5 / x^6

x³ · x⁴ = x⁷, x⁶ ÷ x² = x⁴ and (x²)³ = x⁶. Any nonzero base to the power 0 is 1.

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Common questions

What are the exponent rules?
Add exponents when multiplying the same base, subtract when dividing, multiply for a power of a power.
Why is x⁰ equal to 1?
For x ≠ 0, x³ ÷ x³ is 1, and by the quotient rule it is also x⁰.
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