simplify 2e^{-1.5}

Solution

simplify

2 e^{- 1.5}

0.44626 \dots

Solution steps

2 e^{- 1.5}

Apply exponent rule:

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

= 2 \cdot \frac{1}{e ^{1.5}}

Multiply fractions:

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

= \frac{1 \cdot 2}{e ^{1.5}}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{2}{e ^{1.5}}

e^{1.5} = 4.48168 \dots

= \frac{2}{4.48168 \dots}

Divide the numbers:

\frac{2}{4.48168 \dots} = 0.44626 \dots

= 0.44626 \dots

\frac{- 55}{- 5}

\frac{1}{6} e^{- 1}

5^{2}

e^{- 2^{4}}