INDICES AND LOGARITHMS (INDEKS DAN LOGARITMA)

Before you start: In these pages, the asterisk ( * ) is used to represent multiplication.

2 * 5 = 10

I. Power Basics

A power/index only applies to the thing that it is attached to. It can only attach to one thing, either:

Consider these:

  1. xy3
  2. (xy)3
  3. (x + y)3
  4. (x)(y)3

1. The 3 is attached y.
2. The 3 is attached to the brackets surrounding x and y log a xn
3. The 3 is attached to the brackets surrounding x and y.
4. The 3 is attached to the brackets surrounding y.

So...

  1. xy3 = x * y * y * y
  2. (xy)3 = (xy) * (xy) * (xy)
  3. (x + y)3 = (x + y) * (x + y) * (x + y)
  4. (x)(y)3 = (x) * (y) * (y) * (y)

 

From above, you can see that #1 is the same as #4.

(x)(y)3 = x(y)3 = xy3


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