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Indices | O Level Mathematics 4024 & IGCSE Mathematics 0580 | Detailed Free Notes To Score An A Star (A*)

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Indices

  • There are some rules of indices that must be followed
  • First, If the base is same, then if we multiply two numbers, their powers will add to each other
    • Here, a is the base, and it is the same for both of them
    • Therefore, the final answer will be
  • The same goes for the fact that is the base is the same, then we just subtract the powers if it asks us to divide.
    • As a result, the final answer will be
  • Any thing that has the power of 0, will be equal to one, so
    • For this rule, a’s value itself should not be 0
  • If we have a power outside in the bracket, it will be multiplied with each of the powers inside.
    • Therefore,
    • This will become
  • Another rule is that
    • We can take square root of something to be the same as power 1/2
    • We can take any other route to the same as power 1/that route number
      • For example, a cube root is the same as power 1/3
  • If we take a reciprocal of a number, it’s power changes sign
    • Can also be written as
    • Remember, only the sign of the power changes, the sign of the actual number does not change.
  • These are all the main rules of indices, check their application in the video.
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Hunain Zia has previously achieved considerable success in the high-school educational stream, gaining a massive 154 Total A Grades and 7 Major Distinctions, a process in which he broke/ set 11 different world records, including the most A grades ever achieved, most subjects ever appeared in, most distinctions, gaining distinctions across two separate boards (Pearson Edexcel and CAIE) within the same year/ ever, and even 19 hours of constant examination. All records stand intact today. Hunain pursued his Honors Accounting Degree from the prestigious Bentley University, and then completed an LLB (in Honors) from University of London. Currently, he manages multiple social and commercial projects, has founded digital streams and works tirelessly in the education sector.

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