What is (-3.84*10^{-4})/(64)*(e^{-448/64}) ?

The solution to (-3.84*10^{-4})/(64)*(e^{-448/64}) is -5.47129E-9

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simplify (-3.8410^{-4})/(64)(e^{-448/64})

simplify

\frac{- 3.84 \cdot 1 0 ^{- 4}}{64} \cdot (e^{- \frac{448}{64}})

- 5.47129 E - 9

Solution steps

\frac{- 3.84 \cdot 1 0 ^{- 4}}{64} (e^{- \frac{448}{64}})

Apply exponent rule:

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

= \frac{- 1 0 ^{- 4} \cdot 3.84}{64} \cdot \frac{1}{e ^{\frac{448}{64}}}

\frac{- 3.84 \cdot 1 0 ^{- 4}}{64} = - \frac{0.006144}{2 ^{10}}

= - \frac{0.006144}{2 ^{10}} \cdot \frac{1}{e ^{\frac{448}{64}}}

Divide the numbers:

\frac{448}{64} = 7

= - \frac{1}{e ^{7}} \cdot \frac{0.006144}{2 ^{10}}

Multiply fractions:

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

= - \frac{0.006144 \cdot 1}{2 ^{10} e ^{7}}

Multiply the numbers:

0.006144 \cdot 1 = 0.006144

= - \frac{0.006144}{2 ^{10} e ^{7}}

2^{10} = 1024

= - \frac{0.006144}{1024 e ^{7}}

Simplify

\frac{0.006144}{1024 e ^{7}} : 5.47129 E - 9

= - 5.47129 E - 9

- e^{- t} \cdot u (- t)

(3 a^{2}) (2 a^{3})

4 π \cdot 1 0^{- 7} \cdot 3

1 \cdot 1 0^{- 3} \cdot 824 \cdot 4.3

What is (-3.84*10^{-4})/(64)*(e^{-448/64}) ?
The solution to (-3.84*10^{-4})/(64)*(e^{-448/64}) is -5.47129E-9