What is 25000e^{-0.1(3)} ?

The solution to 25000e^{-0.1(3)} is 18520.45551…

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simplify 25000e^{-0.1(3)}

simplify

25000 e^{- 0.1 (3)}

18520.45551 \dots

Solution steps

25000 e^{- 0.1 (3)}

Apply exponent rule:

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

= 25000 \cdot \frac{1}{e ^{3 \cdot 0.1}}

Multiply the numbers:

0.1 \cdot 3 = 0.3

= 25000 \cdot \frac{1}{e ^{0.3}}

Multiply fractions:

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

= \frac{1 \cdot 25000}{e ^{0.3}}

Multiply the numbers:

1 \cdot 25000 = 25000

= \frac{25000}{e ^{0.3}}

e^{0.3} = 1.34985 \dots

= \frac{25000}{1.34985 \dots}

Divide the numbers:

\frac{25000}{1.34985 \dots} = 18520.45551 \dots

= 18520.45551 \dots

\frac{1}{49}

120 e^{- 0.018 \cdot 50}

(a^{2} b c^{3}) (a b^{4} c^{3})

(0.5) (0.5) (\frac{1.645}{0.06})^{2}

1.2 \times 1 0^{- 2}