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Taking the (1/3) power is the same as taking the cube root. The negative power is the same as taking the reciprocal.
So we have x = (-5)-1/3 Cube both sides: x3 = (-5)-1 = -1/5.
There are actually 3 solutions for x. The first one is pretty easy: cube_root(-1/5) which is -cube_root(1/5).
The other two require complex number analysis and are:
- Cube_root(1/5)*(1/2 + i*sqrt(3)/2)
- Cube_root(1/5)*(1/2 - i*sqrt(3)/2)
Where i represents the square root of -1. (Imaginary unit).
What else can I help you with?
What is negative five thirds multiplied by negative two thirds?
10/9
What is negative two minus five thirds?
negative three and two thirds
What is greater negative one-third or negative seven-thirds?
Negative one third.
What is negative five thirds plus two and one third?
-5/3 + 2 1/3 = 2/3
What is the opposite of negative five thirds?
The opposite of negative five thirds is positive five thirds. In mathematical terms, the opposite of a number is obtained by changing its sign. Therefore, -5/3 becomes +5/3.
What is negative five thirds as a decimal?
-1.6666666667
What is negative three and one third minus negative five and two thirds?
-3 1/3 minus -5 2/3 = 2 1/3
What is One third plus two third?
That equals 3 thirds which is also equal to one.
What is the answer to negative one-third times negative 2?
Positive two-thirds.
What is one and two thirds plus three and two thirds?
five and one third.
What is twenty and one third minus five and two thirds?
14 and two thirds
Five thirds to the third power?
It is 125/27.
