If you want to learn how to simplify radicals, you should know how you can convert the expression with the rational exponents, how to convert expression using rational exponents to the radical equivalent, using of the exponents law in order to simplify the expression with the rational exponents or using rational exponents in order to simply radical expression.
Most of the time, the square root has to be written by using a radical sign. However, it can also be represented by using its root. You may use the rational exponents and not the radical. The rational exponent is the exponent used as a fraction. The example is instead of writing the root of 4, it will be written 41/2.
You may have to get used to raising the rational exponents; however, the rational exponents may help in simplifying the problem. You should be aware of which relationship found between radicals, exponents and fractional.
Fractional and radical exponents are the alternative way that someone can use to express something. You may have seen how square roots may be expressed as exponents at the power of just one half.
When it is cube roots, then the cubing of the number, it will raise the power up to three. The exponent is used to refer to the quantity which is found at the left if the grouping of the symbol was used. Like you may write the expression using the rational exponent with the radical expression, it is possible to express the radical expression by the use of the rational exponents.
The rational exponents using a numerator which is different to one: All the numerators for the fractional exponents, a person may use the fractional exponents which have the numerator which is not 1 in order to express the roots.
In order to write the radical by the use of the fractional exponents, power at which the radical had been raised, it will become the numerator, and the root will become the denominator.
The rational exponents have been subjected to same rules as it happens with other exponents and they do appear in their algebraic expression. The simplification method can give different results according to which context of a problem. It will be easier in using one method and not the other. It is possible to simplify the expression faster by the use of the rational exponents compared to the pull out method.
Another alternative method is working on simplifying the radical using the factoring. For a complicated expression of two variables, the racial and the fraction, it is good to know the steps to use when it comes to fractional exponents, and it may help the user to simplify it more. Depending on the type of questions, the user will use negative exponents, fractional exponents and the rule of the exponents so that they may simplify the entire expression.
Rewriting radicals by using fractional exponents, it may be useful in simplifying the radical expression. While working with the fractional exponents, you should remember that fractional exponents are subjected to the same rules like other exponents if they appear in the Algebraic expression.