What is 10e^{-12500*100*10^{-6}} ?

The solution to 10e^{-12500*100*10^{-6}} is (10)/(e^{5/4)}

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simplify 10e^{-1250010010^{-6}}

simplify

10 e^{- 12500 \cdot 100 \cdot 1 0^{- 6}}

\frac{10}{e ^{\frac{5}{4}}}

Decimal Notation

2.86504 \dots

Solution steps

10 e^{- 12500 \cdot 100 \cdot 1 0^{- 6}}

Apply exponent rule:

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

= 10 \cdot \frac{1}{e ^{1 0^{- 6} \cdot 12500 \cdot 100}}

\frac{1}{e ^{12500 \cdot 100 \cdot 1 0^{- 6}}} = \frac{1}{e ^{\frac{5}{4}}}

= 10 \cdot \frac{1}{e ^{\frac{5}{4}}}

Multiply fractions:

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

= \frac{1 \cdot 10}{e ^{\frac{5}{4}}}

Multiply the numbers:

1 \cdot 10 = 10

= \frac{10}{e ^{\frac{5}{4}}}

0.77 \cdot 1.2 \cdot 1 0^{- 3} \cdot (10 - 20)

4.6 \cdot 1 0^{- 5}

4.6 \cdot 1 0^{- 3}

What is 10e^{-12500*100*10^{-6}} ?
The solution to 10e^{-12500*100*10^{-6}} is (10)/(e^{5/4)}