Write each of the given radicals in exponent form.

Solution

As illustrated in the last two parts of this example we have to be careful with parenthesis.  While we convert to exponent form & the radicand contain more than one term then we have to enclose the entire radicand in parenthesis as we did along with these two parts. To see why this is consider the following,

                                                         8x^1/10

We know that only the term immediately to the left of the exponent in fact gets the exponent. Thus, the radical form of this is,

Hence, we illustrates that parenthesis is extremely important in this class.