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The laws of indices - negative and zero exponents

The starter and exit quiz of the lesson “The laws of indices - negative and zero exponents”, 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 x for (m^x)^8 = m^{24}
  2. What is the value of x for (m^5)^5 = m^x
  3. What is the value of x for (m^3)^x = m^9
  4. What is the value of x for (m^8)^3 = m^x
  5. What is the value of x for \frac{1}{4} = \frac{1}{2^x}
  6. What is the value of x for \frac{1}{64} = \frac{1}{2^x}
  7. What is the value of x for (m^x)^{-8} = m^{24}
  8. What is the value of x for (m^{-5})^5 = m^x
  9. What is the value of x for (m^3)^x = m^{-3}
  10. What is the value of x for \frac{1}{4} = 2^x
  11. What is the value of x for \frac{1}{64} = 2^x
  12. What is the value of a for 5^8 \times 5^a = 5^6?

License: OGL

The laws of indices - negative and zero exponents · Examplary