What is (34.72)e^{-(0.231)(8)} ?

The solution to (34.72)e^{-(0.231)(8)} is 5.47020…

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simplify (34.72)e^{-(0.231)(8)}

simplify

(34.72) e^{- (0.231) (8)}

5.47020 \dots

Solution steps

(34.72) e^{- (0.231) (8)}

Apply exponent rule:

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

= 34.72 \cdot \frac{1}{e ^{8 \cdot 0.231}}

Multiply the numbers:

0.231 \cdot 8 = 1.848

= 34.72 \cdot \frac{1}{e ^{1.848}}

Multiply fractions:

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

= \frac{1 \cdot 34.72}{e ^{1.848}}

Multiply the numbers:

1 \cdot 34.72 = 34.72

= \frac{34.72}{e ^{1.848}}

e^{1.848} = 6.34711 \dots

= \frac{34.72}{6.34711 \dots}

Divide the numbers:

\frac{34.72}{6.34711 \dots} = 5.47020 \dots

= 5.47020 \dots

- 2 e^{- 8}

- 2 e^{- 9}

1.2 (20 \cdot 1 0^{- 3})

\frac{3}{5} e^{- 1}

What is (34.72)e^{-(0.231)(8)} ?
The solution to (34.72)e^{-(0.231)(8)} is 5.47020…