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Lesson 8
Powers, Roots and Radicals
Problems 8-1  Answer Key

Directions: Correct Problems 8-1 using Answer Key below.

  1. What is the small sized number above and to the right of a base number called?

    An exponent

  2. What does 72 mean?

    72 means 7 x 7, or 7 squared or 7 to the second power. When you carry out the operation, you get 49 (72 = 49).


  3. What does 33 mean?

    33 means 3 x 3 x 3, or 3 cubed or 3 to the third power. When you carry out the operation, you get 27 (33 = 27).

  4. Rewrite 6 x 6 x 6 x 7 using an exponent.

    63 • 7

  5. Rewrite 42 x 42 x 6 x 6 using exponents.

    422 • 62

  6. Rewrite 50 x 50 using an exponent.

    502

In the following, multiply out the factors to find the value.

  1. 122 = 144

  2. 103 = 1000

  3. 64 = 1296

  4. 42 • 53 = 2000

  5. 10002 = 1,000,000

  6. 62 • 43 = 2304

  7. 22 • 62 • 72 = 7056

  8. 152 • 102 = 22500

  9. 13 = 1