My point precisely about time you see the light.leetnigga wrote: No, those are not the same.
sqrt(-25) != 25^(-0.5)
sqrt(-25) == (-25)^0.5 == 5i
25^(-0.5) == 1/((25)^0.5) == 1/sqrt(25) == 1/5 == 0.2
There is no "mistake".
0 is not a number.
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That's right. And your conclusion is "the square root is a mistake in mathematics"?floodhound2 wrote:A number raised to a negative exponent has been defined to be the reciprocal of that number with a positive exponent.
Earlier you confused the square root of -25 with 1/(25^0.5).
They are not equal because the square root of -25 is not the same as 25^(-0.5), it's (-25)^0.5 as I said.
High school math lesson:floodhound2 wrote:Wow. People you don't get it.
A number raised to a negative exponent has been defined to be the reciprocal of that number with a positive exponent.
The xth root of a number a, raised to an exponent b can be defined as the number a raised to quotient b over x.
root(x, a^b) = a^(b/x)
The square root of nine:
sqrt(9) = root(2, 9^1) = 9^(1/2).
Of -25:
sqrt(-25) = root(2, -25) = (-25)^(1/2).
A number raised to a negative exponent is defined as the reciprocal of the number raised to the absolute value of the exponent, like you said.
I'm not sure what's unclear about this.