What is 12/10000 e^{-(0.21)/(0.042(1.5))} ?

The solution to 12/10000 e^{-(0.21)/(0.042(1.5))} is 0.00004…

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simplify 12/10000 e^{-(0.21)/(0.042(1.5))}

simplify

\frac{12}{10000} e^{- \frac{0.21}{0.042 ( 1.5 )}}

0.00004 \dots

Solution steps

\frac{12}{10000} e^{- \frac{0.21}{0.042 ( 1.5 )}}

Apply exponent rule:

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

= \frac{12}{10000} \cdot \frac{1}{e ^{\frac{0.21}{0.042 \cdot 1.5}}}

\frac{12}{10000} = \frac{3}{2500}

= \frac{3}{2500} \cdot \frac{1}{e ^{\frac{0.21}{0.042 \cdot 1.5}}}

Multiply the numbers:

0.042 \cdot 1.5 = 0.063

= \frac{3}{2500} \cdot \frac{1}{e ^{\frac{0.21}{0.063}}}

Multiply fractions:

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

= \frac{3 \cdot 1}{2500 e ^{\frac{0.21}{0.063}}}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{3}{2500 e ^{\frac{0.21}{0.063}}}

e^{\frac{0.21}{0.063}} = 28.03162 \dots

= \frac{3}{2500 \cdot 28.03162 \dots}

Multiply the numbers:

2500 \cdot 28.03162 \dots = 70079.06223 \dots

= \frac{3}{70079.06223 \dots}

Divide the numbers:

\frac{3}{70079.06223 \dots} = 0.00004 \dots

= 0.00004 \dots

25000 e^{- 0.1 (3)}

\frac{1}{49}

120 e^{- 0.018 \cdot 50}

(a^{2} b c^{3}) (a b^{4} c^{3})

(0.5) (0.5) (\frac{1.645}{0.06})^{2}

What is 12/10000 e^{-(0.21)/(0.042(1.5))} ?
The solution to 12/10000 e^{-(0.21)/(0.042(1.5))} is 0.00004…