simplify e^{-7.5*7}

Solution

simplify

e^{- 7.5 \cdot 7}

1.58321 E - 23

Solution steps

e^{- 7.5 \cdot 7}

Apply exponent rule:

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

= \frac{1}{e ^{7 \cdot 7.5}}

Multiply the numbers:

7.5 \cdot 7 = 52.5

= \frac{1}{e ^{52.5}}

e^{52.5} = 6.31626 E 22

= \frac{1}{6.31626 E 22}

Divide the numbers:

\frac{1}{6.31626 E 22} = 1.58321 E - 23

= 1.58321 E - 23

2.3 \cdot 1 0^{- 5} e^{(- \frac{148000}{8.314 \cdot 1273})}

3 x 1 0^{- 4} + 2.6 x 1 0^{- 5}

20 \cdot π \cdot e^{\frac{- 50}{99}} \cdot e^{\frac{50}{99}}

- \frac{22}{7}

500 \cdot e^{- 2.5}