What is 18.8e^{-0.253*5} ?

The solution to 18.8e^{-0.253*5} is 5.30609…

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simplify 18.8e^{-0.253*5}

simplify

18.8 e^{- 0.253 \cdot 5}

5.30609 \dots

Solution steps

18.8 e^{- 0.253 \cdot 5}

Apply exponent rule:

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

= 18.8 \cdot \frac{1}{e ^{5 \cdot 0.253}}

Multiply the numbers:

0.253 \cdot 5 = 1.265

= 18.8 \cdot \frac{1}{e ^{1.265}}

Multiply fractions:

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

= \frac{1 \cdot 18.8}{e ^{1.265}}

Multiply the numbers:

1 \cdot 18.8 = 18.8

= \frac{18.8}{e ^{1.265}}

e^{1.265} = 3.54309 \dots

= \frac{18.8}{3.54309 \dots}

Divide the numbers:

\frac{18.8}{3.54309 \dots} = 5.30609 \dots

= 5.30609 \dots

1.36 \cdot 1 0^{- 4}

6.62607015 x 1 0^{- 34}

1.175 \cdot 1 0^{- 8}

e^{- 0.197 \cdot 0.5}

2 k^{2} (k + 1)^{2}