What is 7e^{-0.093*37} ?

The solution to 7e^{-0.093*37} is 0.22422…

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simplify 7e^{-0.093*37}

simplify

7 e^{- 0.093 \cdot 37}

0.22422 \dots

Solution steps

7 e^{- 0.093 \cdot 37}

Apply exponent rule:

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

= 7 \cdot \frac{1}{e ^{37 \cdot 0.093}}

Multiply the numbers:

0.093 \cdot 37 = 3.441

= 7 \cdot \frac{1}{e ^{3.441}}

Multiply fractions:

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

= \frac{1 \cdot 7}{e ^{3.441}}

Multiply the numbers:

1 \cdot 7 = 7

= \frac{7}{e ^{3.441}}

e^{3.441} = 31.21816 \dots

= \frac{7}{31.21816 \dots}

Divide the numbers:

\frac{7}{31.21816 \dots} = 0.22422 \dots

= 0.22422 \dots

e^{- 16.685}

(e^{a})^{2}

(e^{\frac{l n ( 2 )}{2}})^{2}

\frac{( 3.6 ) ^{2}}{( 1.2 ) ^{2}}