A power with a rational exponent m/n in lowest terms satisfies : whenever this makes sense.
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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 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)]
makes no sense..do you mean 95%
Using a radical (square root) bar. I can't get one on the screen, but I'm sure you know what they look like. Example: fractional exponents can be rewritten in radical form: x2/3 means the cube root of (x2) ... write a radical with an index number 3 to show cube root and the quantity x2 is inside the radical. Any fractional exponent can be done the same way. The denominator of the fractional exponent becomes the index of the radical, but the numerator stays as a whole number exponent in the radical.