Basic Math Examples

${(- 1)}^{- 100} + {(- 1)}^{101}$

Step 1

Simplify each term.

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Step 1.1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{{(- 1)}^{100}} + {(- 1)}^{101}$

Step 1.2

Raise $- 1$ to the power of $100$ .

$\frac{1}{1} + {(- 1)}^{101}$

Step 1.3

Divide $1$ by $1$ .

$1 + {(- 1)}^{101}$

Step 1.4

Raise $- 1$ to the power of $101$ .

$1 - 1$

Step 2

Subtract $1$ from $1$ .

$0$