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Oak MathsTest · Maths

The laws of indices - division

The starter and exit quiz of the lesson “The laws of indices - division”, from the unit “Arithmetic procedures: index laws” (Year 10 Maths) by Oak National Academy.

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Oak National Academy

12 questions

  1. What is the value of a for a^3 \times a^7 = 12^{10}?
  2. What is the value of a for a^a \times a^a = 9^{18}?
  3. What is the value of a for 5^a \times 5^a = 5^{20}?
  4. What is the value of a for 8^6 \times 8^{-a} = 8^a?
  5. What is the value of a for 10^3 \times 10^a = 10^3?
  6. What is the value of a for 9^a = 81?
  7. What is the value of b for b^9 \div b^4 = 6^5?
  8. What is the value of a for 9^{20} \div 9^7 = 9^a?
  9. What is the value of a for 0.4^8 \div 0.4^a = 0.4?
  10. What is the value of a for \frac{7^a}{7^7} = 7^{12}?
  11. What is the value of a for \frac{5^9}{5^3} = 5^a?
  12. What is the value of a for \frac{x^a}{x^8} = x^{10}?

License: OGL

The laws of indices - division · Examplary