simplify 0.5e^{-3}

Solution

simplify

0.5 e^{- 3}

0.02489 \dots

Solution steps

0.5 e^{- 3}

Apply exponent rule:

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

= 0.5 \cdot \frac{1}{e ^{3}}

Multiply fractions:

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

= \frac{1 \cdot 0.5}{e ^{3}}

Multiply the numbers:

1 \cdot 0.5 = 0.5

= \frac{0.5}{e ^{3}}

Convert element to a decimal form

e^{3} = 20.08553 \dots

= \frac{0.5}{20.08553 \dots}

Divide the numbers:

\frac{0.5}{20.08553 \dots} = 0.02489 \dots

= 0.02489 \dots

(6 x^{2} y^{3}) (4 x^{5} y^{7})

2 (4 L^{\frac{1}{2}} K^{\frac{1}{2}})

250000000 (1.0701)^{- 8}

\frac{x ^{2}}{( 2 - 2 x ) ^{2}}