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The laws of indices - raising a power to a power

The starter and exit quiz of the lesson “The laws of indices - raising a power to a power”, 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 b for b^7 \div b^4 =9^3?
  2. What is the value of c for 8^9 \times 8^4 = 8^c?
  3. What is the value of b for 7^{-9} \div 7^4 = 7^b?
  4. What is the value of k for 0.6^5 \div 0.6^k = 0.6^{-1}?
  5. What is the value of k for 9^{(2k)} \div 9^k = 9^8?
  6. What is the value of m for m^9 \div m^7 = 6^2?
  7. What is the value of x for (m^3)^2 = m^x ?
  8. What is the value of x for (p^8)^2 = p^x ?
  9. What is the value of x for (m^x)^6 = m^{24} ?
  10. What is the positive value of x for (m^x)^x = m^{16} ?
  11. What is the value of x for (x^3)^3 = 5^9 ?
  12. What is the value of x for (x^x)^2 = x^6 ?

License: OGL

The laws of indices - raising a power to a power · Examplary