When we raise a number to a power, we multiply that number by itself a certain number of times, as indicated by the exponent. In the case of 0 raised to the power of 2, written mathematically as 02, we are multiplying 0 by itself:
02 = 0 × 0 = 0
Therefore, 0 to the power of 2 equals 0.
It’s also interesting to note that 0 raised to any positive exponent will always result in 0. This is because there are no factors to contribute to a greater value when starting from zero. However, if we were to consider 0 raised to the power of 0, that is a different scenario and often sparks debate among mathematicians. Generally, 00 is considered to be an indeterminate form.
In summary, 02 = 0, and this holds true for any positive exponent applied to zero.