CHAPTER 11 REVIEW EXERCISES

CONCEPT CHECK EXERCISES

Determine each of the following as being either true or false. If it is false, explain why.

  1. 2x0 = 1

  2. 16 + 4 = 6

  3. (16 − 1/2)(14 − 2) = 2

  4. 48 − 27 = 3

  5. 13 − 2 = 3 + 2

  6. 57 = 35

PRACTICE AND APPLICATIONS

In Exercises 734, express each expression in simplest form with only positive exponents.
  1. 8x − 3y0

  2. (2c) − 1z − 2

  3. 9c − 1d − 3

  4.  − 5x03y − 1

  5. 3(25)3/2

  6. 322/5

  7. 8(400 − 3/2)

  8. 7(1000) − 2/3

  9. (3t2) − 2

  10. (2x33) − 3

  11.  − 82/349 − 1/2

  12. 4 − 452 − 90

  13. (2a2/3b1/6)6

  14. (ax − 1/2y1/4)8

  15. ( − 32m15n10)3/5

  16. (27x − 6y9)2/3

  17. 6L − 2 − 4C − 1

  18. C4C − 1 + (C4) − 1

  19. 3x − 13x − 1 + y − 1

  20. 9a(2a) − 1 − a

  21. (a − 3b − 1) − 1

  22. (2s − 2 + t) − 2

  23. (x3 − y − 3)1/3

  24. (27a3)2/3(a − 2 + 1)1/2

  25. (W2 − 2WH + H2) − 1/2

  26.  [ (9a)0(4x2)1/3(3b1/2)(2b0)2 ]  − 6

  27. 2x(x

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