Solve {(e)^-6%div6}

$${(e)^{ -6 \% \div 6 }}$$

Evaluate

$$\frac{1}{\sqrt[100]{e}}\approx 0.990049834$$

Solution Steps

Reduce the fraction \frac{6}{100} to lowest terms by extracting and canceling out 2.

$$e^{\frac{-\frac{3}{50}}{6}}$$

Express \frac{-\frac{3}{50}}{6} as a single fraction.

$$e^{\frac{-3}{50\times 6}}$$

Multiply 50 and 6 to get 300.

$$e^{\frac{-3}{300}}$$

Reduce the fraction \frac{-3}{300} to lowest terms by extracting and canceling out 3.

$$e^{-\frac{1}{100}}$$