What will be the zeroth root of 1?
2007-01-13 16:47:07 · 9 answers · asked by rajesh bhowmick 2 in Science & Mathematics ➔ Mathematics
The "zeroth root of 1" is defined as x such that
x^0 = 1
As an example, the square root of 2 is defined such that
x^2 = 2, or x = Sqrt(2).
Since x^0 = 1 for all values of x, x has an infinity of zeroth roots.
2007-01-13 17:04:21 · answer #1 · answered by Scythian1950 7 · 1⤊ 0⤋
1^0 is 1. The zeroth root of any number except for zero is 1. The value of 0^0 is controversial (some say 1, others say undefined).
2007-01-14 00:51:47 · answer #2 · answered by rozinante 3 · 0⤊ 0⤋
That would be undefined.. taking the nth root of a number is the same as raising that number to (1/n)...
the zeroth root of 1 is the same as 1^(1/0) which is impossible since 1/0 is undefined.
2007-01-14 00:55:50 · answer #3 · answered by karl 4 · 0⤊ 0⤋
undefined
the zeroth root essentially means raise 1 to the 1/0 power, which is not defined in our world of mathametics
2007-01-14 00:50:43 · answer #4 · answered by masterspaz 2 · 0⤊ 0⤋
there in no zeroth root!
for square root you have the exponent 1/2,
therefore, the index on the radical is the denominator of the power.
x/0 is undefined.
therefore no answer!
2007-01-14 00:54:13 · answer #5 · answered by kimjay_lmr01 1 · 0⤊ 0⤋
Mind rocking question yar.
1^1/0=1^infinity but 1 raise to anything finite number is 1 only and also any finite number raise to infinity is another infinite number.Thats all.
2007-01-14 04:14:20 · answer #6 · answered by pavan kumar NC 2 · 0⤊ 0⤋
x^0 = 1 for all x not equal to 0. No unique solution.
2007-01-14 00:51:12 · answer #7 · answered by Philo 7 · 1⤊ 0⤋
Do you mean.....
1^(0/2) = 1^(0) = 1
2007-01-14 00:52:20 · answer #8 · answered by ilovehorses 2 · 0⤊ 0⤋
that is not defined man you can be the first
2007-01-14 02:32:50 · answer #9 · answered by gjmb1960 7 · 0⤊ 0⤋