What is 1.6e^{-0.05*0.5} ?

The solution to 1.6e^{-0.05*0.5} is 1.56049…

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simplify 1.6e^{-0.05*0.5}

simplify

1.6 e^{- 0.05 \cdot 0.5}

1.56049 \dots

Solution steps

1.6 e^{- 0.05 \cdot 0.5}

Apply exponent rule:

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

= 1.6 \cdot \frac{1}{e ^{0.05 \cdot 0.5}}

Multiply the numbers:

0.05 \cdot 0.5 = 0.025

= 1.6 \cdot \frac{1}{e ^{0.025}}

Multiply fractions:

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

= \frac{1 \cdot 1.6}{e ^{0.025}}

Multiply the numbers:

1 \cdot 1.6 = 1.6

= \frac{1.6}{e ^{0.025}}

e^{0.025} = 1.02531 \dots

= \frac{1.6}{1.02531 \dots}

Divide the numbers:

\frac{1.6}{1.02531 \dots} = 1.56049 \dots

= 1.56049 \dots

e^{- 4 \cdot l n (4)}

61 (0.082057 \cdot 400)^{- 2}

12 e^{- 0.125}