In math, we use an exponent as a short way of writing the same number multiplied by itself several times. For example: 3^{4} = 3 × 3 × 3 × 3, or 12^{5} = 12 × 12 × 12 × 12 × 12. The exponent tells you how many times the number (called the base) will be multiplied by itself.
Some numbers, like 2 and 10, make easytosolve patterns when repeatedly multiplied. The pattern for repeatedly multiplying by 2, for example, is to just keep doubling the result.
2^{1}

2^{2}

2^{3}

2^{4}

2^{5}

2^{6}

2^{7}

2

2 × 2

2 × 2 × 2

2 × 2 × 2 × 2

2 × 2 × 2 × 2 × 2

2 × 2 × 2 × 2 × 2 × 2

2 × 2 × 2 × 2 × 2 × 2 × 2

2

4

8

16

32

64

128

Copy and complete the following table on a separate piece of paper to find the pattern for 10.
10^{1}

10^{2}

10^{3}

10^{4}

10^{5}

10^{6}

10^{7}

10

10 × 10






10







Click here to see a completed table.
Based on the information in the table, answer the following questions in your notes:
 How do the numbers in the bottom row change as you move from left to right?
 How does the number of zeros in the final answer compare to the number of times 10 is used as a factor?
 What rule does this suggest for how the number of zeros in the final answer compares to the exponent in the top row?
 Using your rule, how would you write one billion (1,000,000,000) as 10 raised to an exponent?
 What would happen if you raise 10 to no power? 10^{0} = ?