Calculating 2 to the 5th power, written as 25
, means multiplying the number 2 by itself a total of five times. In simpler terms, it is represented mathematically as:
25 = 2 × 2 × 2 × 2 × 2
Now, let’s break it down:
- First, we start with the first two:
2 × 2 = 4
- Next, we take that result and multiply by 2 again:
4 × 2 = 8
- We continue by multiplying by 2:
8 × 2 = 16
- Finally, we multiply the last result by 2 once more:
16 × 2 = 32
So, when you compute 25
, the final result is:
25 = 32
This calculation demonstrates the concept of exponentiation, where the base (2 in this case) is multiplied by itself a certain number of times indicated by the exponent (5). It’s a fundamental idea in mathematics that has various applications in computing, engineering, and science.