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Exponent rules worksheets Grades 8–9

Simplify using the product, quotient and power rules for exponents.

The front of the free exponent rules worksheet
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Free · Worked example · 60 problems · Answer key · US Letter

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How to do it

Same base: multiplying adds exponents, dividing subtracts them. Power of a power: multiply exponents.

4x5⋅2x4=8x94x^{5} \cdot 2x^{4} = 8x^{9}multiply numbers (4 × 2), add exponents

Example problems

  1. x4⋅x6=x^{4} \cdot x^{6} =
  2. x5⋅x5=x^{5} \cdot x^{5} =
  3. (x4)6=(x^{4})^{6} =
  4. 6x2⋅6x4=6x^{2} \cdot 6x^{4} =

Polynomials and factoring

  1. Exponent rules
  2. Adding and subtracting polynomials
  3. Multiplying a monomial by a polynomial
  4. Multiplying binomials (FOIL)
  5. Special products
  6. Factoring out the GCF
  7. Factoring trinomials
  8. Factoring trinomials with a leading coefficient
  9. Factoring the difference of squares