Fractional Exponents

5 13 5 13 A radical expression may have four parts 4 4 Coefficient Radical Sign Coefficient 5 4 Root Index Radicand 13

You read this expression as 5 times the fourth root of thirteen. 4 5 13 The radical sign indicates that you are looking for like factors that produce thirteen. 4 5 13 The root index indicates how many factors you are looking for. 4 5 13 1.899 х 1.899 1.899 1.899 = 13

Converting from radical to exponential form. Root Index 2 7 4 4 2 7 = Radicand Converting from exponential to radical form. 5 3 2 5 3 = 2 When the root index is 2, it is usually not indicated in radical form.

When converting from radical to exponential form, use the root index as the denominator of the exponent. Because it is not indicated in this first case, we know that the root index must be 2 for this example.