What is 11530e^{-0.15*4.3} ?

The solution to 11530e^{-0.15*4.3} is 6049.35911…

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simplify 11530e^{-0.15*4.3}

simplify

11530 e^{- 0.15 \cdot 4.3}

6049.35911 \dots

Solution steps

11530 e^{- 0.15 \cdot 4.3}

Apply exponent rule:

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

= 11530 \cdot \frac{1}{e ^{0.15 \cdot 4.3}}

Multiply the numbers:

0.15 \cdot 4.3 = 0.645

= 11530 \cdot \frac{1}{e ^{0.645}}

Multiply fractions:

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

= \frac{1 \cdot 11530}{e ^{0.645}}

Multiply the numbers:

1 \cdot 11530 = 11530

= \frac{11530}{e ^{0.645}}

e^{0.645} = 1.90598 \dots

= \frac{11530}{1.90598 \dots}

Divide the numbers:

\frac{11530}{1.90598 \dots} = 6049.35911 \dots

= 6049.35911 \dots

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