# assignment sheet-WA8_MAT-115- updated 3.31.docx - MAT-115...

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MAT-115: INTERMEDIATE ALGEBRA Written Assignment 8 8.1: Simplify Expressions with Roots Simplify. 1. 8 27 - no real numbers 2. 16 no real numbers State the consecutive whole numbers that the root lies between. 3. 5 2< 5 < 3 4. 10 3< 10 < 4 Simplify. 5. 3 27 x 27 = - 3 x 9 6. 4 16 x 16 = 2 x 4 8.2: Simplify Radical Expressions Simplify. 7. 125 x 16 25 * 5 x 16 = 5 x 8 5 8. 3 125 x 16 5 x 5 x 9. 3 125 x 16 5 x 5 x 10. 96 x 7 225 16 * 6 / 225 = 4 x 3 15 6 x Copyright © 2018 by Thomas Edison State University. All rights reserved.
11. 28 x 6 169 4 * 7 / 169 = 2 x 3 13 7 8.3: Simplify Rational Exponents Simplify. 12. ( 25 ) 1 2 = not a real number 13. 25 1 2 = 25 = -(5) = (-5) 14. 25 1 2 = 1 25 = 1/5 Write with a rational exponent. 15. 5 ( w 3 ) 4 = w 3 ¿ ¿ ¿ Simplify the expression with the rational exponent. 16. 16 3 2 = 2 16 ¿ 3 ¿ = -(4 ¿ 3 = -64 17. ( 16 ) 3 2 = 2 16 ¿ 3 ¿ = not a real number 18. 16 3 2 = 16 ¿ 3 ¿ ¿ 2 ¿ 1 ¿ = 4 ¿ ¿ ¿ 3 ¿ 1 ¿ Simplify. 19. x 8 x 2 = x 8 −(− 2 ) = x 10 Copyright © 2018 by Thomas Edison State University. All rights reserved.
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