What is 760e^{-0.13(6.194)} ?

The solution to 760e^{-0.13(6.194)} is 339.71207…

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simplify 760e^{-0.13(6.194)}

simplify

760 e^{- 0.13 (6.194)}

339.71207 \dots

Solution steps

760 e^{- 0.13 (6.194)}

Apply exponent rule:

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

= 760 \cdot \frac{1}{e ^{0.13 \cdot 6.194}}

Multiply the numbers:

0.13 \cdot 6.194 = 0.80522

= 760 \cdot \frac{1}{e ^{0.80522}}

Multiply fractions:

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

= \frac{1 \cdot 760}{e ^{0.80522}}

Multiply the numbers:

1 \cdot 760 = 760

= \frac{760}{e ^{0.80522}}

e^{0.80522} = 2.23718 \dots

= \frac{760}{2.23718 \dots}

Divide the numbers:

\frac{760}{2.23718 \dots} = 339.71207 \dots

= 339.71207 \dots

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