In Exercise, (a) use zoom-in techniques to estimate the roots of each equation to the near...

In Exercise, (a) use zoom-in techniques to estimate the roots of each equation to the nearest hundredth, as in Example 6; and (b) use algebraic techniques to determine an exact expression for each root, then evaluate the expression and round to four decimal places. Check to see that your answers are consistent with the graphical results obtained in part (a).

Example 6 Solving an equation with fractional exponents