Question

Simplify. 3/(square root)-125n^12 -5 n9 -5 n4 5 n4

Answer 1

B)
`-5n^4`

Explanation:

We want to simplify
`\sqrt[3]{-125n^(12)}`

`\sqrt[3]{-125n^(12)} = \sqrt[3]{-1 * - 1 * -1 * 5 * 5 * 5 * n^4 * n^4 * n^4} \\\\= \sqrt[3]{(-1)^3 * 5^3 * (n^4)^3}\\\\= -1 * 5 * n^4\\\\= -5n^4`

The answer is
`-5n^4`