2 to the 10th power, written as 210, equals 1024.
To understand why, let’s break it down. When we say ‘2 to the 10th power,’ we are multiplying the number 2 by itself a total of 10 times. This can be expressed as:
2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
If we calculate this step by step, it goes like this:
- 2 × 2 = 4
- 4 × 2 = 8
- 8 × 2 = 16
- 16 × 2 = 32
- 32 × 2 = 64
- 64 × 2 = 128
- 128 × 2 = 256
- 256 × 2 = 512
- 512 × 2 = 1024
So, the final result is 1024. This concept of powers or exponents is fundamental in mathematics, especially in fields such as computer science, where binary numbers are often used.