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A number with a negative index is simply the reciprocal of the same number with a positive index.
So, x-a = 1/xa
Next a number to a fractional index, (a/b) is the ath power of the bth root of the number. Equivalently, it is the bth root of the ath power of the number.
That is, xa/b = b√(xa) = (b√x)a.
Combining these results: x-a/b = 1/(xa/b) = 1/[b√(xa)]
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What do algebraic expression contains?
Constants (numbers), variables, the four basic operations of arithmetic (+, -, *, /) as well as brackets and indices (including negative and fractional ones).
Is index the same as squared?
No. The power 2, which denotes squared, is one of an infinite number of possible values for the index. Indices (or powers) can be negative, fractional, irrational or even complex.
Why are brackets needed to square negative numbers on a calculator?
It is due to the way in which a calculator does its calculations. Most calculators follow BIDMAS which stands for; brackets, indices, division, multiplication, addition and subtraction. Since indices are calculated before subtraction, the number will be squared before it is recognised as being negative.
Do all banks have fractional routing numbers?
Yes... routing numbers are fractional and thats how a bank accounts work in the world
Is indices singular and plural?
"indices" is plural of "index".
