Answer:
d = -3
Step-by-step explanation:
Given the equation:
[tex]d^3 = -27[/tex]
Solve for d:
Take both sides cube root we have;
[tex]d =\sqrt[3]{-27}[/tex]
We can write 27 as:
[tex]27 = 3 \cdot 3 \cdot 3 = 3^3[/tex]
then;
[tex]d = \sqrt[3]{-3^3}[/tex]
Using the rules:
[tex]\sqrt[n]{a^n} = a[/tex]
[tex]\sqrt[3]{-1} = -1[/tex]
then;
[tex]d = -\sqrt[3]{3^3} = -3[/tex]
therefore, the unknown variable d is, -3
