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Exponent Laws: Multiplying and Dividing Powers (Year 9)

Free printable NZ Year 9 maths worksheet: simplify products, quotients and powers of powers using the exponent laws, leaving answers in index form.

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Grade 8 · Math worksheet
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Date
Math

Exponent Laws: Multiplying and Dividing Powers

Simplify each expression using the exponent laws. Leave every answer in index form (as a single power).

  1. 1.
    Simplify, leaving your answer in index form: 727^{2} x 767^{6}
  2. 2.
    Simplify, leaving your answer in index form: 737^{3} x 747^{4}
  3. 3.
    Simplify, leaving your answer in index form: 464^{6} x 434^{3}
  4. 4.
    Simplify, leaving your answer in index form: 464^{6} x 424^{2}
  5. 5.
    Simplify, leaving your answer in index form: 252^{5} / 232^{3}
  6. 6.
    Simplify, leaving your answer in index form: 767^{6} / 737^{3}
  7. 7.
    Simplify, leaving your answer in index form: 363^{6} / 333^{3}
  8. 8.
    Simplify, leaving your answer in index form: 959^{5} / 949^{4}
  9. 9.
    Simplify, leaving your answer in index form: (85)4(8^{5})^{4}
  10. 10.
    Simplify, leaving your answer in index form: (94)4(9^{4})^{4}
  11. 11.
    Simplify, leaving your answer in index form: (45)3(4^{5})^{3}
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