Problems | Answer Key

Practice Exercise 8-1 (click HERE for a printer-friendly version)

Directions: Please complete the problems below. When you finish, compare your answers with those in the Answer Key 8-1 that follows. For questions you do not get correct, please review the instruction.

Answer the following questions.

  1. What is an exponent?
    _____________________________________________________
    _____________________________________________________
    _____________________________________________________

  2. What does 162 mean?
    _____________________________________________________
    _____________________________________________________
    _____________________________________________________

  3. What does 93 mean?
    _____________________________________________________
    _____________________________________________________
    _____________________________________________________

  4. Rewrite 10 x 10 x 10 using an exponent.
    _____________________________________________________

  5. Rewrite 726 x 726 x 726 x 726 x 726 using an exponent.
    _____________________________________________________

  6. Rewrite 47 x 47 using an exponent.
    _____________________________________________________
In the following, multiply out the factors to find the value.
  1. 142 = ____________________

  2. 253 =  ____________________

  3. 44 =  _____________________

  4. 22 • 33 =  __________________

  5. 1003 =  ___________________

  6. 52 • 33 =  __________________

  7. 42 • 32 • 52 =  _______________

  8. 162 • 202 =  ________________

  9. 121 =  ____________________

 
 

Answer Key 8-1  (click HERE for a printer-friendly version) (top)

Correct Practice Exercise 8-1 using the Answer Key below.

  1. What is an exponent?

    An exponent is a small number written to the right and above a base number, that tells you how many times the base number is a factor (or, in other words, how many times the number should be multiplied by itself).

  2. What does 162 mean?

    162 means 16 x 16, or 16 squared or 16 to the second power. When you carry out the operation, you get 256 (162 = 256).

  3. What does 93 mean?

     93 means 9 x 9 x 9, or 9 cubed or 9 to the third power. When you carry out the operation, you get 729 (93 = 729).

  4. Rewrite 10 x 10 x 10 using an exponent.

    103

  5. Rewrite 726 x 726 x 726 x 726 x 726 using an exponent.

     7265

  6. Rewrite 47 x 47 using an exponent.

    472

  1. 142 = 196

  2. 253 =  15625

  3. 44 = 256

  4. 22 • 33 =  108

  5. 1003 =  1,000,000

  6. 52 • 33 =  675

  7. 42 • 32 • 52 =  3600

  8. 162 • 202 =  102,400

  9. 121 =  12

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