Explain why (-64)1/3 equals -64 1/3 but (-64)1/2 does not equal -64 1/2

The two expressions are equal because the presence of the negative sign does not affect the result

The first expression will give a complex number since we cannot find the square root of a negative number

Given the following surd functions

We are to explain why they are not equal.

For the expression , this can also be written as . The expression means that we need a value such that if the value is multiplied in 3 places will give -64. Hence:

The two expressions are equal because the presence of the negative sign does not affect the result

On the contrary;

These two expressions are NOT equal because the presence of the negative sign affects the result. The first expression will give a complex number since we cannot find the square root of a negative number

Learn more on roots here: link

1/3 would make it a repeating decimal so a fraction is prettier,

1/2 would make it a whole number: -64 * 1/2 = -32

well the answer to that is xoxoxo

step-by-step explanation: