A fractional index is simply an exponent in the form of a fraction so instead of writing something square-rooted, you would write the number to the power of a fraction e.g
√49 = 49^(1/2)
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04.5 is in fractional notation - a decimal fraction. However, I assume you meant in the form of a ratio.The answer is 45/10 or 9/2
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.
1/n
A power with a rational exponent m/n in lowest terms satisfies : whenever this makes sense.
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)]