What is 2*10^{-5}e^{0.0139(2020)} ?

The solution to 2*10^{-5}e^{0.0139(2020)} is 31271625.64934…

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simplify 2*10^{-5}e^{0.0139(2020)}

simplify

2 \cdot 1 0^{- 5} e^{0.0139 (2020)}

31271625.64934 \dots

Solution steps

2 \cdot 1 0^{- 5} e^{0.0139 (2020)}

Apply exponent rule:

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

= 2 e^{2020 \cdot 0.0139} \frac{1}{1 0 ^{5}}

Multiply the numbers:

0.0139 \cdot 2020 = 28.078

= 2 e^{28.078} \frac{1}{1 0 ^{5}}

Multiply fractions:

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

= \frac{1 \cdot 2 e ^{28.078}}{1 0 ^{5}}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{2 e ^{28.078}}{1 0 ^{5}}

Factor

1 0^{5} : 2^{5} \cdot 5^{5}

= \frac{2 e ^{28.078}}{2 ^{5} \cdot 5 ^{5}}

Cancel the common factor:

2

= \frac{e ^{28.078}}{5 ^{5} \cdot 2 ^{4}}

5^{5} \cdot 2^{4} = 50000

= \frac{e ^{28.078}}{50000}

e^{28.078} = 1563581282467.1858

= \frac{1563581282467.1858}{50000}

Divide the numbers:

\frac{1563581282467.1858}{50000} = 31271625.64934 \dots

= 31271625.64934 \dots

(x^{3})^{\circ} (2 x + 5)

65 \cdot e^{- 0.00012}

\frac{3 w}{2}

t^{4} sin (2 t) e^{- 0.05 t}

(3)^{\frac{4}{5}}

What is 2*10^{-5}e^{0.0139(2020)} ?
The solution to 2*10^{-5}e^{0.0139(2020)} is 31271625.64934…