What is 7e^{-0.093*27} ?

The solution to 7e^{-0.093*27} is 0.56830…

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simplify 7e^{-0.093*27}

simplify

7 e^{- 0.093 \cdot 27}

0.56830 \dots

Solution steps

7 e^{- 0.093 \cdot 27}

Apply exponent rule:

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

= 7 \cdot \frac{1}{e ^{27 \cdot 0.093}}

Multiply the numbers:

0.093 \cdot 27 = 2.511

= 7 \cdot \frac{1}{e ^{2.511}}

Multiply fractions:

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

= \frac{1 \cdot 7}{e ^{2.511}}

Multiply the numbers:

1 \cdot 7 = 7

= \frac{7}{e ^{2.511}}

e^{2.511} = 12.31724 \dots

= \frac{7}{12.31724 \dots}

Divide the numbers:

\frac{7}{12.31724 \dots} = 0.56830 \dots

= 0.56830 \dots

7 e^{- 0.093 \cdot 29}

1.59 1^{- 3} mm

1.66 \cdot 1 0^{- 27} \cdot 4

8.854187817 \cdot 1 0^{- 12}

(x^{2} + y^{2}) e^{- x y}