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Algebra-2 Radicals and Rational Exponent Test Review 2 (Unit 9) (No Calculator Section) 1) Rewrite with radical notation: DO NOT simplify! (Put the denominator in the hook and the numerator as a power.) 2 1 5 93 x3 y 3 2) Rewrite with rational exponents: DO NOT simplify! The power goes in the numerator and the number in the hook goes in the denominator.) xy 2 5 3) Simplify the following to lowest terms. If the expression HINTS: Be sure you have “memorized” all of the powers and roots on the little slip of paper! When written as a radical most times it is easier to put the power outside and do the root part first. Be careful with negatives! For negative POWERS, move to the other side of the fraction. For negative NUMBERS, do like normal problems and reduce. Be sure to only move what has the negative power, not the co-efficient in front of it. Use a factor tree for the numbers under the radical if they are not perfect roots of the index. When no power is there it is really a 1. When simplifying radicals, divide the power under the radical sign by the index. The remainder stays inside. When you add or subtract fractions you need a common denominator. When you multiply fractions you multiply numerator times numerator and denominator times denominator. 3 11 4 w 3 7 4 8 3 83 2 3 32 5 32 ( 3 64 )2 w 1 5x 2 16 2 8 w w (2)3 16x 4 y 2 z 8 23 y 1 4 (2) 4 1 4 (2) 4 When a base does not have a perfect root, change it to a lower powered base, the raise to the power. 1 6 32 1 4 (Calculator Section) Solve the following radical equations algebraically. You must show your work in checking for extraneous solutions. x 3 16 1 3 3 ( y 7) + 1 = 13 Solve the following inequalities using tables or graphing in your calculator. Put answers in interval notation. x 1 7 2 x 1 7 FOR PRACTICE GO TO THE INTERNET OR YOUR TEXT BOOK.