Indices with algebra
As with numbers, the laws of indices also apply with algebra. Let’s recap and focus on some more difficult multiplication and division with indices.
Multiplying indices: an x am = an+m
Dividing indices an am = an-m
__Indices with brackets: __
(an)m = (a)n x m
(ab)m = (a)m x (b)m
More complicated fractions:
Simplifying more complicated expressions
In the higher paper you will be expected to simplify more complicated indices that may combine indices, roots, brackets, fractions and algebra. Eg.
( The top being the numerator!)
- Simplify: √16v^5t^-6 / √64vt
- 1 / (4√m)^5