simplify 3/2 e^{-x}

Solution

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

3 \cdot 1 = 3

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

e^{- \frac{1}{50} x}

0.09 \cdot 1 0^{- 0.045}

\frac{e ^{- 4 t}}{e ^{- 5 t}}

2 e^{2 x} \cdot 2 e^{x}

(2.125 x 1 0^{- 5}) x (8.5 x 1 0^{10})