What is 404e^{-0.032(25)} ?

The solution to 404e^{-0.032(25)} is 181.52890…

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simplify 404e^{-0.032(25)}

simplify

404 e^{- 0.032 (25)}

181.52890 \dots

Solution steps

404 e^{- 0.032 (25)}

Apply exponent rule:

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

= 404 \cdot \frac{1}{e ^{25 \cdot 0.032}}

Multiply the numbers:

0.032 \cdot 25 = 0.8

= 404 \cdot \frac{1}{e ^{0.8}}

Multiply fractions:

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

= \frac{1 \cdot 404}{e ^{0.8}}

Multiply the numbers:

1 \cdot 404 = 404

= \frac{404}{e ^{0.8}}

e^{0.8} = 2.22554 \dots

= \frac{404}{2.22554 \dots}

Divide the numbers:

\frac{404}{2.22554 \dots} = 181.52890 \dots

= 181.52890 \dots

(x - 4)^{3}

e^{- s t} cos (3 t)

(x^{2} - 25)^{3}

- 2 e^{- 0^{2}} 0