For the same reason that any other number (except zero) to the power 0 is 1. This is related to the fact that 1 is the neutral element of multiplication. It can be understood if you see this sequence - I'll use 10 to different powers, but any other number (except zero) will do just as well:
103 = 1000
102 = 100
101= 10
100 = ???
What is the logical continuation of this sequence? As you can see, on the left, the exponents get reduced one at a time; on the right, each number is one-tenth of the previous number in the sequence. Therefore, the logical continuation is 1.
Observe:
35 * 32 = 3*3*3*3*3*3*3 = 37, which is the same as 35 * 32 = 35+2 = 37
7 * 73 = 7*7*7*7 = 74, or 7 * 73 = 71+3 = 74
411 * 40 = (by above observation) 411+0 = 411, it means that 40 played the role of 1.
24/22 = (2*2*2*2)/(2*2) = 2*2 = 22, which is the same as 24/22 = 24-2 = 22
89/86 = (8*8*8*8*8*8*8*8*8)/(8*8*8*8*8*8) = 8*8*8 = 83, or 89/86 = 89-6 = 83
53/53= (5*5*5)/(5*5*5) = 1 , or (by above observation) 53-3 = 50
Thus, it is true that 50 = 1 (things = to the same thing = each other).
Now we can say that 10 = 1.
We can represent 1 such as,
1 = integer/integer, except 0/0 (it's undefined, cannot be both zero and 1)
1 = 5/5, 10 = (5/5)0, 1 = 50/50
1= 1/1 also 10 = (1/1)0, 1 = 10/10
1 cannot be represent by 0/0, or (0/0)0, therefore it cannot be also represented by 00/00.
Thus, 00 is not 1.
Therefore, we make a definition, that any nonzero real number raised to the zero power is 1.
0 to the power 0 is 1 because any number power zero is always equal to 1.Anything to the power of 0 equals 1.
(a to the power of 1)/(a to the power of 1)=1 So, a to the power of (1-1)=1 Therefore, a to the power of 0=1
Any negative number to the power of 0 is always -1
1 Anything to the 0 power = 1
Any number to the power of 0 equals 1.Therefore 2 to the power of 0 = 1
Any number raised to the power of 0 is always equal to 1. Therefore, 3 to the power of 0 is 1.
0 to the power 0 is 1 because any number power zero is always equal to 1.Anything to the power of 0 equals 1.
maybe 1 power of 0 is 1 is The answer is one (1)
(a to the power of 1)/(a to the power of 1)=1 So, a to the power of (1-1)=1 Therefore, a to the power of 0=1
why is a number to the power of 0 1
1 anything to the power of 0 is 1
Anything to the power of 0 is 1.
Any negative number to the power of 0 is always -1
x^0 = 1 Anything in the power of 0 is 1
10 to the 0 power is 10 and 5 to the 0 power is 5 so 10 multiplied by 5 equals 50.
1. Any number to the power of 0 is equal to 1.
1 everything to the power of 0 = 1