Simplify -1/( square root of 1-(-1)^2)

$\frac{- 1}{\sqrt{1 - {(- 1)}^{2}}}$

Step 1

Multiply $- 1$ by ${(- 1)}^{2}$ by adding the exponents.

Multiply $- 1$ by ${(- 1)}^{2}$ .

Raise $- 1$ to the power of $1$ .

$\frac{- 1}{\sqrt{1 + {(- 1)}^{1} {(- 1)}^{2}}}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{- 1}{\sqrt{1 + {(- 1)}^{1 + 2}}}$

Add $1$ and $2$ .

$\frac{- 1}{\sqrt{1 + {(- 1)}^{3}}}$

Step 2

Raise $- 1$ to the power of $3$ .

$\frac{- 1}{\sqrt{1 - 1}}$

Step 3

Subtract $1$ from $1$ .

$\frac{- 1}{\sqrt{0}}$

Step 4

Rewrite $0$ as $0^{2}$ .

$\frac{- 1}{\sqrt{0^{2}}}$

Step 5

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

$\frac{- 1}{0}$

Step 6

The expression contains a division by $0$ . The expression is undefined.

Undefined