What is 0.67*e^{-(20)/(0.5)*0.25} ?

The solution to 0.67*e^{-(20)/(0.5)*0.25} is 0.00003…

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simplify 0.67e^{-(20)/(0.5)0.25}

simplify

0.67 \cdot e^{- \frac{20}{0.5} \cdot 0.25}

0.00003 \dots

Solution steps

0.67 e^{- \frac{20}{0.5} \cdot 0.25}

Apply exponent rule:

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

= 0.67 \cdot \frac{1}{e ^{0.25 \cdot \frac{20}{0.5}}}

\frac{1}{e ^{\frac{20}{0.5} \cdot 0.25}} = \frac{1}{e ^{10}}

= 0.67 \cdot \frac{1}{e ^{10}}

Multiply fractions:

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

= \frac{1 \cdot 0.67}{e ^{10}}

Multiply the numbers:

1 \cdot 0.67 = 0.67

= \frac{0.67}{e ^{10}}

Convert element to a decimal form

e^{10} = 22026.46579 \dots

= \frac{0.67}{22026.46579 \dots}

Divide the numbers:

\frac{0.67}{22026.46579 \dots} = 0.00003 \dots

= 0.00003 \dots

e^{- \frac{177800 - 111.2 \cdot 800}{8.314 \cdot 800}}

r^{2} (r + 1)^{2}

2.05 \cdot 666. 6^{- 0.18}

e^{3 x} \cdot (- 4) e^{- 4 x}

\frac{x - 1}{( x ^{2} - x ) ( x - 1 ) ^{2}} f r a cc i o n es

What is 0.67*e^{-(20)/(0.5)*0.25} ?
The solution to 0.67*e^{-(20)/(0.5)*0.25} is 0.00003…