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Section 6.2 Study Guide (part 1) Fractional Exponents and Radical Expressions 1. Evaluate the following and state what the answer means for each: 3 2. 25 = ___________ meaning: ______________________ 64 = ___________ meaning: _____________________ 81 = ___________ meaning: ______________________ Evaluate. ( 25) 2 = ________ 3. ( 64) 2 =___________ ( 3 81)3 = ___________ Find the value that would replace the ? in each equation. 4. ( x? ) 2 x ( y ? )3 y ? = _________ ? = __________ Based on your results from problems 2 and 3, find the ? in each equation. x x? 3 ? = ___________ 5. y y? ? = ____________ Evaluate the following based on your results from #4. 1 2 36 = ___________ 6. 1 3 27 = _________ 1 2 9 = __________ 1 3 8 =_____________ Sometimes the numerator for the fractional exponent is not equal to one. When this happens, we have to take two steps to solve. 2 27 3 = _________ Step 1: Step 2: Step 1: Step 2: 2 8 3 =__________ 7. a) 8. a) n Write each of the following as an equivalent expression in the form x and give the value of n. 1 x4 x6 b) c) ( 3 x )5 d) 1 4 x2 5 a 2 5 a8 Simplify each expression. Assume all variables are positive. a 4b 6 b) 3 93 3 c) 4 x12 y 8 Do the following problems from page182 below. 8. 10. 12. 14. d)