What is 1000e^{-0.4(0.5)} ?

The solution to 1000e^{-0.4(0.5)} is 818.73075…

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simplify 1000e^{-0.4(0.5)}

simplify

1000 e^{- 0.4 (0.5)}

818.73075 \dots

Solution steps

1000 e^{- 0.4 (0.5)}

Apply exponent rule:

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

= 1000 \cdot \frac{1}{e ^{0.4 \cdot 0.5}}

Multiply the numbers:

0.4 \cdot 0.5 = 0.2

= 1000 \cdot \frac{1}{e ^{0.2}}

Multiply fractions:

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

= \frac{1 \cdot 1000}{e ^{0.2}}

Multiply the numbers:

1 \cdot 1000 = 1000

= \frac{1000}{e ^{0.2}}

e^{0.2} = 1.22140 \dots

= \frac{1000}{1.22140 \dots}

Divide the numbers:

\frac{1000}{1.22140 \dots} = 818.73075 \dots

= 818.73075 \dots

2 y^{2} (y - 1)^{2}

\frac{d}{d t} ((f (t))^{2} + (g (t))^{2} + (f (t)^{^{'}} (t))^{2})

9.25 \times 1 0^{- 6}

t^{\frac{3}{2}}

e^{- 0.01655949}