7.7.1 Study: Rational Exponents Algebra II Study Guide Name: Date: Use the questions below to keep track of key concepts from this lesson's study activity. 1) Main Idea: To use rational exponents, you need to understand nith roots. Write n, b, index, or radicand in each blank. hel lowol ni el holtbent orde bris topsinl the to brus gry For a nonnegative number b and a positive integer Index of a radical fm ton ofhill n, 4/b means a number raised to the th power equals A redmun ys bas amet jaawol Nedmun lenolim Vis To 2) Main Idea: Knowing the index of a radical helps you determine whether the value of the radical is a real number or an imaginary number. Fill in the blanks to complete the chart. Example, vb Index, n Radicand, b Value of radical 14 = 2 even positive .nolessno real numberon mont V-4 = 21 imaginary number 327 = 3 31-27 = -3 3) You can write any oth root as a fractional exponent by changing the index n to the exponent _ nieks er steigmoo of n Write n, b, index, or radicand in each blank. The becomes the base of the Nb = exponent. . The becomes the denominator of the fractional exponent