When we talk about 10 raised to the 8th power, we are essentially referring to the expression 108. This means that we multiply the number 10 by itself a total of eight times:
108 = 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10
Calculating this step-by-step:
- 10 x 10 = 100
- 100 x 10 = 1000
- 1000 x 10 = 10000
- 10000 x 10 = 100000
- 100000 x 10 = 1000000
- 1000000 x 10 = 10000000
- 10000000 x 10 = 100000000
Thus, 108 = 100000000. In other words, 10 raised to the 8th power equals 100 million.
This concept is often used in scientific notation and can be beneficial in various fields, such as engineering and finance. Understanding exponents helps simplify large numbers, making calculations easier and more manageable.