Maths Indices

Maths Indices

1. first 3 rules of indices

   • when timing, add the indices
   • when dividing, you takeaway the indices
   • when in brackets, you times the indices
   • Only works if the base numbers are the same
   • if the equation involves numbers and letters, do them separately
     • If its in the bracket then still do separately e.g (2a)4 = 16a4 because 2x2x2x2 = 16 and then a4

2. a few indices rules to remember

   • anything with an indice/power of 0 is 1 e.g 2 to the power of 0 = 1, 3 to the power of 0 = 1 etc...
   • anything with a base of 1 is 1
     • E.G. 1 to power of -4 = 1/1 by 4 which = 1/1 which = 1

3. Negative indices

   • think of beyonce song, if you like it then you should have put a ring around it. now change it to if it's a minus then you better put a 1 over it, and also get rid of minus. so rather than 2 by the power of -8 it will be 1/2 by power of 8 which = 1/256

4. Fractional indices

   • rule = x to the power of 1/n = nth root of x
     • • e.g 125 to the power of 1/3 = cube root of 125 which = 5
   • if the fraction is a minus then deal with the minus first

5. More complicated incies

   • Get rid of negative indices immediately
     • then split up fractional indices
       • top number of fraction becomes power out of bracket and bottom becomes 1/__ power
         • then you can use the fractional indices rule to get to the next step
           • Then type into calculator and your done
   • Examples
   • the indices might not always be in a fraction so just type the indices into the calculator and it will transfer it to fraction

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