To find the value of 16 raised to the power of 14, we start by expressing 16 as a power of 2. This can be done because 16 is equal to 2^4.
Using this representation, we can rewrite the expression:
1614 = (24)14
Next, according to the laws of exponents, when you raise a power to a power, you multiply the exponents:
(24)14 = 24 * 14 = 256
Now, we need to calculate 2 raised to the power of 56. This is going to give us a very large number. In actual numeric form, 256 equals 72,057,594,037,927,936.
To summarize, 1614 = 256 = 72,057,594,037,927,936.
So, the answer to the question is that 16 raised to the power of 14 is 72,057,594,037,927,936.