When we talk about powers in mathematics, we’re referring to an expression that represents repeated multiplication. In this case, the expression 10 to the 5th power, or 105, means that we multiply the number 10 by itself a total of five times.
To break it down, 105 can be calculated as follows:
- 10 × 10 × 10 × 10 × 10
If we perform the multiplication step by step:
- First, 10 × 10 = 100
- Next, 100 × 10 = 1,000
- Then, 1,000 × 10 = 10,000
- Finally, 10,000 × 10 = 100,000
So, the final answer to 10 to the 5th power is 100,000.
In summary, 105 = 100,000. This mathematical notation is particularly useful in various fields such as science, engineering, and finance, where large numbers are commonly used.