Answer:
An exponent is equal to the index, the corresponding factor goes out of radicand
Step-by-step explanation:
Radicals are expressions with the form:
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Where n Є N and a Є R; provided that when a is negative, n must be odd.
A radical can be expressed in the form of power, and therefore power radical as follows:
Using the notation of fractional exponent and property of the fractions that says if we multiply numerator and denominator by the same number, the fraction is equivalent, we obtain an equivalent radical to the original one
In other words, if you multiply or divide the index and the exponent of a radical by the same natural number, an equivalent radical is obtained.
If there is a natural number that divides the index and the exponent of the radicand, a simplified radical is obtained.
How to reduce into a common index?
First we find the least common multiple of the indices, which will be the common index. Then we divide the common index for each of the indexes and each result is multiplied by their corresponding exponents.
