1) [2 points each] Simplify the following (= Write them with a single exponent.) 21) (P'3)(_13_1) b) P\" + P4 2) Solve for j. Round your answer to the nearest .001 17 j()_3=2 3) In Equal Temperament Tuning, what frequency ratio is associated with a minor sixth (8 half- steps)? Round your answer to the nearest 0.000001. 4) Calculate the frequency of B; in the following tuning systems. Round all answers, if necessary, to the nearest 0.00] Hz: a) Equal Temperament Tuning b) Harmonic Series in A c) Just Intonation in A\" 5) Calculate the frequency of E: in Pythagorean Tuning. Round, if necessary, to the nearest 0.00] Hz. 6) Divide the fundamental Frequency of F5 by the frequency of A4 in the following tuning systems. Round your answers (if necessary) to the nearest 0.000001: a) Equal Temperament Tuning b) Harmonic Series Tuning in E* Once you have an answer, calculate the difference in cents between this ratio and your answer to part (a). Round to the nearest cent. c) Pythagorean Tuning. Once you have an answer, calculate the difference in cents between this ratio and your answer to part (a). Round to the nearest cent. 7) [2 points each] The first three terms in an infinite geometric series are -42, 31.5, and -23.625