What is 0.23^{10}e^{-0.23*200} ?

The solution to 0.23^{10}e^{-0.23*200} is 4.36247E-27

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simplify 0.23^{10}e^{-0.23*200}

simplify

0.2 3^{10} e^{- 0.23 \cdot 200}

4.36247 E - 27

Solution steps

0.2 3^{10} e^{- 0.23 \cdot 200}

Apply exponent rule:

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

= 0.2 3^{10} \cdot \frac{1}{e ^{200 \cdot 0.23}}

Multiply the numbers:

0.23 \cdot 200 = 46

= 0.2 3^{10} \cdot \frac{1}{e ^{46}}

Multiply fractions:

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

= \frac{1 \cdot 0.2 3 ^{10}}{e ^{46}}

Multiply:

1 \cdot 0.2 3^{10} = 0.2 3^{10}

= \frac{0.2 3 ^{10}}{e ^{46}}

0.2 3^{10} = 4.14265 E - 7

= \frac{4.14265 E - 7}{e ^{46}}

Convert element to a decimal form

e^{46} = 9.49612 E 19

= \frac{4.14265 E - 7}{9.49612 E 19}

Divide the numbers:

\frac{4.14265 E - 7}{9.49612 E 19} = 4.36247 E - 27

= 4.36247 E - 27

e^{- 40}

2 x^{2} (2 x)

x e x p (- x^{2})

x - 1 x + 1

1.2 \times 1 0^{- 5}

What is 0.23^{10}e^{-0.23*200} ?
The solution to 0.23^{10}e^{-0.23*200} is 4.36247E-27