Question

(-1/2)^3= ? find the value​

Answer 1

Answer:

hope it will help you dear

Answer 2

Answer:

(-1)^2/3 = 1^1/3.

Every number has 3 cube roots. Let's find the cube roots of 1. It's equivalent to finding the roots of this cubic :

x^3-1 = 0.

(x-1)(x^2 + x + 1) = 0.

x - 1 = 0 or x^2 + x + 1 = 0.

x = 1.

To find other 2 roots, we've to solve this quadratic.

A quadratic formula yields :

x = (-1 ± √(3)i)/2.

And we're done !!

Now, we know all 3 cube roots of 3. You can find cube roots of any rational number by this way.

Cheers!!