Question

Solve the equation for the unknown variable.

d3=−27

Enter your answer in the box.
d =

Answer 1

d = -3

Explanation:

Given the equation:

`d^3 = -27`

Solve for d:

Take both sides cube root we have;

`d =\sqrt[3]{-27}`

We can write 27 as:

`27 = 3 \cdot 3 \cdot 3 = 3^3`

then;

`d = \sqrt[3]{-3^3}`

Using the rules:

`\sqrt[n]{a^n} = a`

`\sqrt[3]{-1} = -1`

then;

`d = -\sqrt[3]{3^3} = -3`

therefore, the unknown variable d is, -3