Question

The quotient of a number to the third power and - 2 is 8

Answer 1

`n=\sqrt[3]{-16}` or n ≈ -2.52

Explanation:

If we allow n to represent the unknown number, we can use the equation n^3 / -2 = 8, where we must solve for n

Step 1: Multiply both sides by -2

(n^3 / -2 = 8) * -2

n^3 = -16

Step 2: Take the cube root of both sides to find n

∛(n^3) = ∛-16

n ≈ -2.52

You can either use the approximation (rounded to the nearest hundredth) or you can keep the answer as ∛-16, since it's more precise.