Algebra Examples

$\sqrt[- 4]{16}$

Step 1

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

$\sqrt[- 4]{4^{2}}$

Step 2

Rewrite $\sqrt[- 4]{4^{2}}$ as $\sqrt[- 2]{\sqrt{4^{2}}}$ .

$\sqrt[- 2]{\sqrt{4^{2}}}$

Step 3

Pull terms out from under the radical, assuming positive real numbers.

$\sqrt[- 2]{4}$

Step 4

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

$\sqrt[- 2]{2^{2}}$

Step 5

Rewrite $\sqrt[- 2]{2^{2}}$ as $\sqrt[- 1]{\sqrt{2^{2}}}$ .

$\sqrt[- 1]{\sqrt{2^{2}}}$

Step 6

Pull terms out from under the radical, assuming positive real numbers.

$\sqrt[- 1]{2}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\sqrt[- 1]{2}$

Decimal Form:

$0.5$