Review of Introductory Mathematics RADICALSDissimilarRadicalsOften, dissimilar radicals may be combined after they are simplified.Example:481x^{2}x664x^{3}3 xx2 x(312)x2 xChangingRadicalstoExponentsThis chapter has covered solving radicals and then converting them into exponential form. It ismuch easier to convert radicals to exponential form and then perform the indicated operation.The expressioncan be written with a fractional exponent as 4^{1/3}. Note that this meets the34condition , that is, the cube root of 4 cubed equals 4. This can be expressed in the41334following algebraic form:a^{1/n}naThe above definition is expressed in more general terms as follows:a^{m/n}namna^{m}Example 1:Express the following in exponential form.327^{2}27^{2/3}22^{1/2}Example 2:Solve the following by first converting to exponential form.2732727^{1/2}27^{1/3}27^{5/6}but 27 = 3^{3}substituting: 27^{5/6} = (3^{3})^{5/6} = 3^{5/2}Rev. 0 Page 77 MA-01

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