What is 25000e^{-0.1(4)} ?

The solution to 25000e^{-0.1(4)} is 16758.00115…

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simplify 25000e^{-0.1(4)}

simplify

25000 e^{- 0.1 (4)}

16758.00115 \dots

Solution steps

25000 e^{- 0.1 (4)}

Apply exponent rule:

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

= 25000 \cdot \frac{1}{e ^{4 \cdot 0.1}}

Multiply the numbers:

0.1 \cdot 4 = 0.4

= 25000 \cdot \frac{1}{e ^{0.4}}

Multiply fractions:

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

= \frac{1 \cdot 25000}{e ^{0.4}}

Multiply the numbers:

1 \cdot 25000 = 25000

= \frac{25000}{e ^{0.4}}

e^{0.4} = 1.49182 \dots

= \frac{25000}{1.49182 \dots}

Divide the numbers:

\frac{25000}{1.49182 \dots} = 16758.00115 \dots

= 16758.00115 \dots

1.2 \times 1 0^{- 3}

e^{- (- 2)^{2}}

32.744 e^{- 0.252 (1)}

\frac{d}{d x} (y^{x})