Radicals

Often, dissimilar radicals may be combined after they are simplified.

Changing Radicals to Exponents

This chapter has covered solving radicals and then converting them into exponential form. It is much easier to convert radicals to exponential form and then perform the indicated operation.

The expression can be written with a fractional exponent as 4^1/3.Note that this meets thecondition = 4, that is, the cube root of 4 cubed equals 4. This can be expressed in the following algebraic form:

The above definition is expressed in more general terms as follows:

Example 1:

Express the following in exponential form.

Example 2:

Solve the following by first converting to exponential form.