What is 7.49e^{-(0.7)/(0.1067)} ?

The solution to 7.49e^{-(0.7)/(0.1067)} is 0.01060…

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simplify 7.49e^{-(0.7)/(0.1067)}

simplify

7.49 e^{- \frac{0.7}{0.1067}}

0.01060 \dots

Solution steps

7.49 e^{- \frac{0.7}{0.1067}}

Apply exponent rule:

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

= 7.49 \cdot \frac{1}{e ^{\frac{0.7}{0.1067}}}

Multiply fractions:

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

= \frac{1 \cdot 7.49}{e ^{\frac{0.7}{0.1067}}}

Multiply the numbers:

1 \cdot 7.49 = 7.49

= \frac{7.49}{e ^{\frac{0.7}{0.1067}}}

e^{\frac{0.7}{0.1067}} = 706.58948 \dots

= \frac{7.49}{706.58948 \dots}

Divide the numbers:

\frac{7.49}{706.58948 \dots} = 0.01060 \dots

= 0.01060 \dots

2.58 \cdot 1 0^{- 4}

1.293 \cdot 2.5 \cdot 1 0^{- 3}

1.2 \cdot 1 0^{- 13}

2500 (1.0 7^{- x})

What is 7.49e^{-(0.7)/(0.1067)} ?
The solution to 7.49e^{-(0.7)/(0.1067)} is 0.01060…