Raising 1/4 to the Power of 12
In this article, we will explore the result of raising 1/4 to the power of 12. This calculation involves exponentiation, which is a fundamental concept in mathematics.
What does 1/4 to the Power of 12 Mean?
The expression "1/4 to the power of 12" can be written mathematically as:
(1/4) ^ 12
This means that we need to raise the fraction 1/4 to the power of 12. In other words, we need to multiply 1/4 by itself 12 times.
Calculating the Result
To calculate the result, we can start by multiplying 1/4 by itself:
(1/4) ^ 2 = (1/4) × (1/4) = 1/16
(1/16) ^ 2 = (1/16) × (1/16) = 1/256
(1/256) ^ 2 = (1/256) × (1/256) = 1/65536
(1/65536) ^ 2 = (1/65536) × (1/65536) = 1/4294967296
(1/4294967296) ^ 2 = (1/4294967296) × (1/4294967296) = 1/18446744073709551616
The final result is:
(1/4) ^ 12 = 1/18446744073709551616
Simplifying the Result
The result is a very small fraction. We can simplify it by converting it to a decimal value:
(1/4) ^ 12 ≈ 0.000000000000000054
This is an extremely small value, close to zero.
Conclusion
In conclusion, raising 1/4 to the power of 12 results in an extremely small fraction, which can be simplified to a decimal value close to zero. This calculation demonstrates the power of exponentiation in mathematics.
