The expression x to the power of 12, often written as x12
, represents a mathematical operation where the variable x is multiplied by itself a total of 12 times. To clarify, this means:
- When x is any number,
x12 = x × x × x × x × x × x × x × x × x × x × x × x
. - If x is equal to 2, then
212 = 4096
. - If x is 1, then
112 = 1
. - For x as 0,
012 = 0
. - Additionally, for negative values of x, such as -2, it would result in
(-2)12 = 4096
because the exponent is even, making the result positive.
However, the value of x12
entirely depends on the specific value of x. To summarize, x raised to the power of 12 yields very large numbers when x is anything greater than 1 or less than -1, while it’s simply 1 or 0 for values of 1 and 0, respectively.