Finite Math Examples

$\sqrt[4]{- 16}$

Step 1

Set $\sqrt[4]{- 16}$ equal to $0$ .

$\sqrt[4]{- 16} = 0$

Step 2

Solve for $x$ .

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Step 2.1

Simplify $\sqrt[4]{- 16}$ .

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Step 2.1.1

Rewrite $- 16$ as $2^{4} \cdot - 1$ .

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Step 2.1.1.1

Factor $16$ out of $- 16$ .

$\sqrt[4]{16 (- 1)} = 0$

Step 2.1.1.2

Rewrite $16$ as $2^{4}$ .

$\sqrt[4]{2^{4} \cdot - 1} = 0$

Step 2.1.2

Pull terms out from under the radical.

$2 \sqrt[4]{- 1} = 0$

Step 2.2

Since $2 \sqrt[4]{- 1} \neq 0$ , there are no solutions.

No solution