What is 1.6e^{-0.05*0.25} ?

The solution to 1.6e^{-0.05*0.25} is 1.58012…

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simplify 1.6e^{-0.05*0.25}

simplify

1.6 e^{- 0.05 \cdot 0.25}

1.58012 \dots

Solution steps

1.6 e^{- 0.05 \cdot 0.25}

Apply exponent rule:

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

= 1.6 \cdot \frac{1}{e ^{0.05 \cdot 0.25}}

Multiply the numbers:

0.05 \cdot 0.25 = 0.0125

= 1.6 \cdot \frac{1}{e ^{0.0125}}

Multiply fractions:

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

= \frac{1 \cdot 1.6}{e ^{0.0125}}

Multiply the numbers:

1 \cdot 1.6 = 1.6

= \frac{1.6}{e ^{0.0125}}

e^{0.0125} = 1.01257 \dots

= \frac{1.6}{1.01257 \dots}

Divide the numbers:

\frac{1.6}{1.01257 \dots} = 1.58012 \dots

= 1.58012 \dots

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