Exponent Practice Problems – Test 1

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. 0.00875 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, 8.3×104, since there are 4 digits to the right of the 8.

6. B

Moving the decimal to the right of the 8 gives 8.75×10-3, since the decimal must be moved 3 places to the right.