simplify 2e^{-3/2}

Solution

simplify

2 e^{- \frac{3}{2}}

\frac{2}{e ^{\frac{3}{2}}}

Decimal Notation

0.44626 \dots

Solution steps

2 e^{- \frac{3}{2}}

Apply exponent rule:

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

= 2 \cdot \frac{1}{e ^{\frac{3}{2}}}

Multiply fractions:

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

= \frac{1 \cdot 2}{e ^{\frac{3}{2}}}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{2}{e ^{\frac{3}{2}}}

1.72 \cdot 1 0^{- 6}

(1.6 \cdot 1 0^{- 19}) (5.3 \cdot 1 0^{4})

2.57 \cdot 1 0^{- 4}

4^{2 l o g_{3} (2)}