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Multiply monomials using exponent laws

9th grade (Year 10 in England) · 16 questions · Common Core: HSA.APR.A.1, 8.EE.A.1 · England: GCSE Foundation Algebra

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  1. Question 1

    x⁻⁴ × x⁻¹ × x⁵ = xᵏ. Find k.

    Answer

  2. Question 2

    Simplify: (6x²)(3x)

    Answer

  3. Question 3

    Simplify: (x⁴)(−5x⁴y⁴)

    Answer

  4. Question 4

    x⁻¹ × x⁶ × x⁻² = xᵏ. Find k.

    Answer

  5. Question 5

    Simplify: (−5x⁶)(6x⁶)

    Answer

  6. Question 6

    Simplify: (5x²y⁴)(3x²y²)

    Answer

  7. Question 7

    x⁻³ × x⁻² × x⁵ = xᵏ. Find k.

    Answer

  8. Question 8

    Simplify: (−x)(2x⁴)

    Answer

  9. Question 9

    Simplify: (3x³y)(x⁴y)

    Answer

  10. Question 10

    x⁻⁶ × x⁶ × x⁻¹ = xᵏ. Find k.

    Answer

  11. Question 11

    Simplify: (−2x⁶)(2x⁶)

    Answer

  12. Question 12

    Simplify: (−3x²y³)(−4xy⁴)

    Answer

  13. Question 13

    x⁻⁴ × x³ × x⁵ = xᵏ. Find k.

    Answer

  14. Question 14

    Simplify: (x³)(5x³)

    Answer

  15. Question 15

    Simplify: (−3x)(5x²y²)

    Answer

  16. Question 16

    x⁻³ × x⁻⁴ × x² = xᵏ. Find k.

    Answer

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Answer key: Multiply monomials using exponent laws

  1. 1. 0

  2. 2. 18x^3

  3. 3. -5x^8y^4

  4. 4. 3

  5. 5. -30x^12

  6. 6. 15x^4y^6

  7. 7. 0

  8. 8. -2x^5

  9. 9. 3x^7y^2

  10. 10. -1

  11. 11. -4x^12

  12. 12. 12x^3y^7

  13. 13. 4

  14. 14. 5x^6

  15. 15. -15x^3y^2

  16. 16. -5