what is the cube root of -1/64

What is (-1/4)(-1/4)(-1/4) ?

To find the cube root of a number, we need to find a value that, when raised to the power of 3, gives us the given number.

In this case, we want to find the cube root of -1/64.

Step 1: Rewrite the given number in terms of its prime factors.
-1 can be written as -1 x 1.
64 can be written as 2 x 2 x 2 x 2 x 2 x 2.

Step 2: Take the cube root of each prime factor.
The cube root of -1 is -1.
The cube root of 2 is ∛2.
The cube root of 2 is ∛2.
The cube root of 2 is ∛2.
The cube root of 2 is ∛2.
The cube root of 2 is ∛2.

Step 3: Combine the cube roots of the prime factors.
The cube root of -1/64 is:
-1 x ∛2 x ∛2 x ∛2 x ∛2 x ∛2.

Therefore, the cube root of -1/64 is -∛2 x ∛2 x ∛2 x ∛2 x ∛2.

To calculate the cube root of a number, we need to find the number that, when raised to the power of 3, equals the given number. In this case, we want to find the cube root of -1/64.

The cube root of -1/64 can be written as (∛-1/64).

To evaluate this expression, we can divide the exponent of -1 (-1) by 3. The result will be -1/3.

Therefore, the cube root of -1/64 is -1/3.

In summary:
Cube root of -1/64 = -1/3