All numbers raised to zero is equal to 1.
True or False?
Raised to the zero power?
http://mathforum.org/dr.math/faq/faq.number.to.0power.html
True. All numbers raised to the power of zero equal 1. This can be shown using the definition of exponents:
Any number raised to the power of zero is defined as equal to 1. To understand why, we need to examine the fundamental properties of exponents. When a number is raised to a power, it represents repeated multiplication by itself.
For example, 2^3 means multiplying 2 by itself three times: 2 x 2 x 2 = 8. Similarly, 2^2 means multiplying 2 by itself twice: 2 x 2 = 4.
Now, when we have a number raised to the power of 1, it means multiplying that number by itself once. So 2^1 equals 2, and 3^1 equals 3.
When we have a number raised to the power of 0, it means multiplying that number by itself zero times. But any number multiplied by itself zero times is defined to be 1. So, 2^0 equals 1, and 3^0 equals 1.
Therefore, all numbers raised to the power of zero are equal to 1.