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Review of Sections 10.1 – 10.4 Section 10.1 Simplify. Variables may represent any real number, so remember to use absolute-value notation when necessary. 1. (14 x) 2 2. 4 x 2 36 x 81 3. 5 x 20 4. 12 (10)12 5. 5 32( x 1)5 Section 10.2 Use rational exponents to simplify. Do not use fraction exponents in the final answer. Write answers using radical notaion. 1. 8 3x 6 4 2. 3. 4 4. 5 4 2 x3 x2 y5 x x 20 Section 10.3 Multiply and simplify. Assume that no radicands were formed by raising negative numbers to even powers. 50 xy 4 xy 2 1. 2. 3 6 x7 y 3 9 x 4 y12 3. 4 4 x 2 y 3 z 3 4 8x 4 yz 6 4. 3 5 x7 9 15 x3 Section 10.4 Rationalize each denominator. Assume that all variables represent positive numbers. 3x 20 1. 2. 3. 4 5 y2 4 27 x 3 48 x8 y 7 4. 5. 2 x2 y 3 x 2 y10 3 15 y 2 3 24 xy