Problem Set

Simplify or otherwise reduce the following expressions using the rules of exponents.

    1. 2−5

    3. 84(54)

    4. 24 × 25 ÷ 27 − 24

    5. Solve the following problems.

    7. Does a2 + a4 = a6 for all values of a?

    8. x3 < x2. Describe the possible values of x.

    9. If x4 = 16, what is |x|?

    10. If y5 > 0, is y < 0?

    11. If b > a > 0 and c ≠ 0, is a2b3c4 positive?

    12. Simplify:

    13. If r3 + |r| = 0, what are the possible values of r?

    14. Quantity A Quantity B
      2y
    15. Quantity A Quantity B
      33 × 96 × 24 × 42 93 × 36 × 22 × 44

    16. y > 1

      Quantity A Quantity B
      (0.99)y 0.99 × y