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Rules of Indices

29 Responses

  1. Stephen Yau says:

    Thanks for this, very helpful stuff

    Like or Dislike: Thumb up 16 Thumb down 3

  2. Amy says:

    HELP!!!! I need to know what rule five is for a test tomorrow!! It says in my book:
    2(in powers) -3=1 over 2, to the power 3= 1 over 8??? can
    someone explain please?????

    Like or Dislike: Thumb up 5 Thumb down 6

  3. admin says:

    Sorry, I could not get to your comment in time. I will be updating this entry with more content very soon.

    Like or Dislike: Thumb up 5 Thumb down 10

  4. it is kind of unclear of how the rules are divided and explained because i think they are more rules. so that was kind of unclear.

    Like or Dislike: Thumb up 4 Thumb down 4

  5. whitney says:

    what is A raise to the power x or A raise to the power 2x .

    Like or Dislike: Thumb up 3 Thumb down 6

  6. Anna says:

    A very helpful explanantion – thank you.

    In the last line of rule four (just over the rule five title) am I right in thinking that the first fraction has been (inadventently) turn over again?

    Like or Dislike: Thumb up 3 Thumb down 4

  7. Emmi says:

    my mind is fully clear after seeing this. thankyou.

    Like or Dislike: Thumb up 4 Thumb down 1

  8. segun says:

    Thanks for dis!!!!

    Like or Dislike: Thumb up 4 Thumb down 2

  9. ZP says:

    Really helpful. Cheers

    Like or Dislike: Thumb up 0 Thumb down 0

  10. Anaan says:

    Hey I need help.
    How do you solve 3 to the power of 100 times 4 to the power of 100?

    Like or Dislike: Thumb up 0 Thumb down 0

  11. Author says:

    Hi is that

    \[ 3^{100} × 4^{100} \]

    Remember you cannot apply any rule here since the bases for both numbers is different.

    Like or Dislike: Thumb up 0 Thumb down 0

  12. Rhyan says:

    thanks this really helps when trying to revise

    Like or Dislike: Thumb up 0 Thumb down 0

  13. Lamin Jammeh says:

    Thanks…How does the rule apply when adding or subtracting the same bases but powers eg. X^a + X^b

    Like or Dislike: Thumb up 0 Thumb down 0

  14. Bob says:

    Because its brackets basic multiplication and division they ARRRREEE the 3 rules though. :D

    Like or Dislike: Thumb up 0 Thumb down 0

  15. bob says:

    awesome

    Like or Dislike: Thumb up 0 Thumb down 0

  16. YOLO says:

    quite good

    Like or Dislike: Thumb up 0 Thumb down 0

  17. saran says:

    how to solve
    10^n – 4^n / 5^n – 2^n

    Like or Dislike: Thumb up 0 Thumb down 0

  18. THANK YOU

    Like or Dislike: Thumb up 0 Thumb down 0

  19. alvin says:

    thx

    Like or Dislike: Thumb up 0 Thumb down 0

  20. Rasad says:

    this is very help full web but i cant find the quation’s like
    a1 over 2 x a-3 over 4

    Like or Dislike: Thumb up 0 Thumb down 0

  21. Rasad says:

    this is very help full web but i cant find the quation’s like this one
    a1 over 2 x a-3 over 4

    Like or Dislike: Thumb up 0 Thumb down 0

  22. Thomas Graham says:

    Hi most of your notes i find easy to understand but below my teacher (i’m an adult learner)he as given us stuff to reduce to a single index i have brackets within in brackets and fractions inside that and powers i’m confused have you a page i can look at please?

    Like or Dislike: Thumb up 0 Thumb down 0

    • Author says:

      Hello Thomas,

      Can you type some examples of the questions that your teacher wants you to work out. Brackets means multiply so you might have to expand the expressions first. Are they similar to this:
      \[(x^2y^3) ÷ (x^2y^4) \]
      \[ (4^2(4×4×4)) × ((4×4×4)4^5) \]
      Remember indices rules only apply when the base for all the terms is the same to be able to reduce it to a single indexed number.

      Like or Dislike: Thumb up 0 Thumb down 0

  23. Ann says:

    Hi, I am having difficulty working out this question. Can anybody help ?

    5×2/3=x-1/3

    The answer is 1/5 but I am having trouble getting to that answer.

    Like or Dislike: Thumb up 0 Thumb down 0

    • Chris says:

      Probably not a problem still but thought i would answer anyway. times both sides by three cancels the division on both sides, adding 1 to both sides cancels the -1 on the right side and then you have 11= x

      Like or Dislike: Thumb up 0 Thumb down 0

  24. arjun sarkar says:

    i like mathematics

    Like or Dislike: Thumb up 0 Thumb down 0

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