Chapter 1 Elementary Arithmetic

Section 1.4 Powers and Roots

1.4.3 Exercises


Exercise 1.4.18
Calculate the following powers:
  1. (- 3 5 )4 = .

  2. ( 2-2 )-3 = .

  3. (- 1 2 )0 = .


Exercise 1.4.19
Simplify the following expressions using the exponent rules and by reducing the results. You don't need to evaluate the powers:
  1. (-2 )7 (-2 )5 = .

  2. 62 · 3-2 = .

  3. 643 83 = .

  4. ( 3 4 ) 1 3 · ( 3 4 ) 2 3 = .


Exercise 1.4.20
Calculate the following roots (here, the result is always an integer):
  1. 33·93 = .

  2. 3433 = .


Exercise 1.4.21
Simplify the following expressions and write each as a reduced fraction containing no powers:
  1. 33 · 63 9· 23 · 43 = .

  2. 32 · 9-3 · 276 · 27-2 = .