Algebra Examples

${(1 + - 0.001)}^{\frac{1}{- 0.001}}$

Step 1

Replace all occurrences of $+$ $-$ with a single $-$ . A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign because $1 \cdot - 1 = - 1$

${(1 - 0.001)}^{\frac{1}{- 0.001}}$

Step 2

Subtract $0.001$ from $1$ .

${0.999}^{\frac{1}{- 0.001}}$

Step 3

Divide $1$ by $- 0.001$ .

${0.999}^{- 1000}$

Step 4

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

$\frac{1}{{0.999}^{1000}}$

Step 5

Raise $0.999$ to the power of $1000$ .

$\frac{1}{0.36769542}$

Step 6

Divide $1$ by $0.36769542$ .

$2.71964221$