What is 500e^{-0.693*(28)/(1.5)} ?

The solution to 500e^{-0.693*(28)/(1.5)} is 0.00120…

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simplify 500e^{-0.693*(28)/(1.5)}

simplify

500 e^{- 0.693 \cdot \frac{28}{1.5}}

0.00120 \dots

Solution steps

500 e^{- 0.693 \cdot \frac{28}{1.5}}

Apply exponent rule:

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

= 500 \cdot \frac{1}{e ^{0.693 \cdot \frac{28}{1.5}}}

\frac{1}{e ^{0.693 \cdot \frac{28}{1.5}}} = \frac{1}{e ^{12.936}}

= 500 \cdot \frac{1}{e ^{12.936}}

Multiply fractions:

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

= \frac{1 \cdot 500}{e ^{12.936}}

Multiply the numbers:

1 \cdot 500 = 500

= \frac{500}{e ^{12.936}}

e^{12.936} = 414985.97356 \dots

= \frac{500}{414985.97356 \dots}

Divide the numbers:

\frac{500}{414985.97356 \dots} = 0.00120 \dots

= 0.00120 \dots

e^{- 2 l n (s e c (x))}

(9.2 \cdot 1 0^{12}) \cdot (6.2 \cdot 1 0^{15})

190 \cdot 1 0^{- 8} \cdot 9.8

\frac{- 72}{- 2}

What is 500e^{-0.693*(28)/(1.5)} ?
The solution to 500e^{-0.693*(28)/(1.5)} is 0.00120…