What is 109e^{-0.3*5} ?

The solution to 109e^{-0.3*5} is 24.32118…

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simplify 109e^{-0.3*5}

simplify

109 e^{- 0.3 \cdot 5}

24.32118 \dots

Solution steps

109 e^{- 0.3 \cdot 5}

Apply exponent rule:

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

= 109 \cdot \frac{1}{e ^{5 \cdot 0.3}}

Multiply the numbers:

0.3 \cdot 5 = 1.5

= 109 \cdot \frac{1}{e ^{1.5}}

Multiply fractions:

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

= \frac{1 \cdot 109}{e ^{1.5}}

Multiply the numbers:

1 \cdot 109 = 109

= \frac{109}{e ^{1.5}}

e^{1.5} = 4.48168 \dots

= \frac{109}{4.48168 \dots}

Divide the numbers:

\frac{109}{4.48168 \dots} = 24.32118 \dots

= 24.32118 \dots

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