Find the cube root of - 8 / (root(- 8, 3)) (1 point)
To find the cube root of -8 divided by the cube root of -8 raised to the power of 3, we can simplify the expression step by step:
Step 1: Simplify the numerator of the expression.
The cube root of -8 is -2, since (-2)^3 = -8.
So, the expression becomes -2.
Step 2: Simplify the denominator of the expression.
The cube root of -8 raised to the power of 3 is -8.
So, the expression becomes 1.
Step 3: Divide the numerator by the denominator.
-2 divided by 1 equals -2.
Therefore, the cube root of -8 divided by the cube root of -8 raised to the power of 3 is -2.
In order to find the cube root of negative 8 divided by the cube root of negative 8, we can simplify the expression.
First, let's find the cube root of -8:
∛(-8) = -2
Now, let's find the cube root of the cube root of -8:
∛(-2) = -1
Therefore, the cube root of -8 / ∛(-8) is -1.
To find the cube root of an expression, we need to simplify the expression inside the cube root first.
The expression is -8 divided by the cube root of -8.
First, let's simplify the square root of -8. The square root of -8 can be written as √(-1 * 8).
We know that the square root of -1 is denoted as 'i'. So, we can rewrite the square root of -8 as 2i√2.
Next, let's simplify the cube root of -8. The cube root of -8 can be written as -2√2.
Now, we can rewrite the original expression as -8 divided by -2√2.
Dividing -8 by -2 gives us 4.
So, the cube root of -8 divided by the cube root of -8 is 4.