Question

Choose the solution for the equation.
n3 = 256

Answer 1

It should be D (second column, bottom box). The answer can't be negative because the exponent is an odd number. You can also eliminate the two answers on row one, because the question isn't asking for the square root.

Answer 2

Option D is correct.

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`n = \sqrt[3]{256}`

Explanation:

Given the equation:

`n^3 = 256`

Taking cube root both sides we have;

`\sqrt[3]{n^3}= \sqrt[3]{256}`

We know:
`\sqrt[n]{a^n}=a`

then;

`n = \sqrt[3]{256}`

Since, it can't be negative because the exponent is an odd number.

therefore, the solution for the given equation is,
`n = \sqrt[3]{256}`