simplify 10e^{-0.5}

Solution

simplify

10 e^{- 0.5}

6.06530 \dots

Solution steps

10 e^{- 0.5}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= 10 \cdot \frac{1}{e}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 10}{e}

Multiply the numbers:

1 \cdot 10 = 10

= \frac{10}{e}

e = 1.64872 \dots

= \frac{10}{1.64872 \dots}

Divide the numbers:

\frac{10}{1.64872 \dots} = 6.06530 \dots

= 6.06530 \dots

4 e^{- 4 t} (\frac{e ^{4 t} - 1}{4})

8.9737 \times e^{- 1.96 \times 0.4975}

e^{- 3 x} \times 3 e^{3 x}

\frac{1}{21} e^{21 x} e^{- 4 x}

(8 e^{6} f^{- 4})^{- 1}