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Exponent Practice Problems - Test 1

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1. 104 is not equal to which of the following?

  1. 100,000
  2. 0.1 x 105
  3. 10 x 10 x 10 x 10
  4. 102 x 102
  5. 10,000

2. Multiply 104 by 102

  1. 108
  2. 102
  3. 106
  4. 10-2
  5. 103

3. Divide x5 by x2

  1. x7
  2. x4
  3. x10
  4. x3
  5. x2.5

4. Find 8.23 x 109

  1. 0.00000000823
  2. 0.000000823
  3. 8.23
  4. 8230000000
  5. 823000000000

5. 83,000 equals:

  1. 83.0 x 104
  2. 8.3 x 104
  3. 8.3 x 103
  4. 83.0 x 105
  5. 83.0 x 102

6. .00875 equals:

  1. 8.75 x 10-2
  2. 8.75 x 10-3
  3. 8.75 x 10-4
  4. 87.5 x 10-3
  5. 875 x 10-4

Answers & Explanations

1. A: 104=10.10.10.10, or 10,000.

2. C: When multiplying terms with the same base, the exponents should be added. Thus, 104 . 102=106.

3. D: When dividing terms with the same base, the exponents should be subtracted. Thus, x5/x2 =x3.

4. D: The decimal will be moved to the right 9 places. Thus 7 zeros will be added to the right of 823, giving 8,230,000,000.

5. B: Moving the decimal to the right of the digit, 8, gives the equivalent expression, 8.3x104, since there are 4 digits to the right of the 8.

6. B: Moving the decimal to the right of the 8 gives 8.75x10-3, since the decimal must be moved 3 places to the right.

Additional Exponent Practice

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Last Updated: 10/13/2014

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