10 to the 6th power (10^6) represents a mathematical operation where the base number 1010 is multiplied by itself six times. Here’s how it works:
10^6=10×10×10×10×10×10
Let’s break it down step by step:
- 10×10=100
- 100×10=1,000
- 1,000×10=10,000
- 10,000×10=100,000
- 100,000×10=1,000,000
The result is 1,000,000, or 1 million.
This operation is an example of exponentiation, where the base 1010 is raised to the power 66. The exponent 66 indicates how many times the base is multiplied by itself.
In practical terms, raising 10 to a power is simply a way of adding zeros to the number 1. For example:
- 10^1=10Â (1 zero)
- 10^2=100Â (2 zeros)
- 10^6=1,000,000Â (6 zeros)
This makes 10^6 useful for representing large numbers in science, engineering, and everyday applications. For example:
- 1 megabyte (MB) = 10^6 bytes (1,000,000 bytes).