The relationship between radicals and exponents:

We know that if we square the square root of 2, the result will be simply 2 (without a radical).inforad2
Radicals and applying exponents are "opposite " operations.
Exponents (powers) have the ability to "undo" radicals (roots).
Radicals (roots) have the ability to "undo" exponents (powers).
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Taking the root of a number is the inverse of raising a number to that power.

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Radicals and fractional exponents:
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The denominator of the fractional exponent will be the index of the radical.


If n is a positive integer that is greater than 1 and a is a real number, then
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When dealing with radicals, it may be advantageous to rewrite the radical using a fractional exponent. The power rules associated with exponents often make the radical computations or simplifications easier.
Note: We can also say: infon

See more about fractional exponents at Fractional (Rational) Exponents.
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