Question

Solve x to the third power = 1/8 a) 1/2b) _+ 1/2c) 1/4d)_+ 1/4

Answer 1

Notice that:

`8=2^3.`

Now, applying cubic root to both sides of the equation we get:

`\sqrt[3]{x^3}=\sqrt[3]{(1)/(8)}.`

Recall that:

`\sqrt[3]{(a)/(b)}=\frac{\sqrt[3]{a}}{\sqrt[3]{b}}.`

Therefore:

`\sqrt[3]{x^3}=\sqrt[3]{(1)/(8)}=(1)/(2)\text{.}`

Answer: First option.