What is 12/300*e^{-(30)/(300(16))} ?

The solution to 12/300*e^{-(30)/(300(16))} is 1/(25e^{1/160)}

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simplify 12/300*e^{-(30)/(300(16))}

simplify

\frac{12}{300} \cdot e^{- \frac{30}{300 ( 16 )}}

\frac{1}{25 e ^{\frac{1}{160}}}

Decimal Notation

0.03975 \dots

Solution steps

\frac{12}{300} e^{- \frac{30}{300 ( 16 )}}

Apply exponent rule:

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

= \frac{12}{300} \cdot \frac{1}{e ^{\frac{30}{300 \cdot 16}}}

\frac{12}{300} = \frac{1}{25}

= \frac{1}{25} \cdot \frac{1}{e ^{\frac{30}{300 \cdot 16}}}

\frac{1}{e ^{\frac{30}{300 \cdot 16}}} = \frac{1}{e ^{\frac{1}{160}}}

= \frac{1}{25} \cdot \frac{1}{e ^{\frac{1}{160}}}

Multiply fractions:

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

= \frac{1 \cdot 1}{25 e ^{\frac{1}{160}}}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{25 e ^{\frac{1}{160}}}

2 π (10) 100 \cdot 1 0^{- 6}

13.612 \cdot 1 0^{- 3} (0.5) (100 0^{2} - 35 0^{2})

(\frac{1}{2} a^{2} b^{5}) (\frac{3}{8} a^{4} b c^{2})

\frac{x + 2}{x}

What is 12/300*e^{-(30)/(300(16))} ?
The solution to 12/300*e^{-(30)/(300(16))} is 1/(25e^{1/160)}