What is 25e^{-0.03(23)} ?

The solution to 25e^{-0.03(23)} is 12.53940…

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simplify 25e^{-0.03(23)}

simplify

25 e^{- 0.03 (23)}

12.53940 \dots

Solution steps

25 e^{- 0.03 (23)}

Apply exponent rule:

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

= 25 \cdot \frac{1}{e ^{23 \cdot 0.03}}

Multiply the numbers:

0.03 \cdot 23 = 0.69

= 25 \cdot \frac{1}{e ^{0.69}}

Multiply fractions:

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

= \frac{1 \cdot 25}{e ^{0.69}}

Multiply the numbers:

1 \cdot 25 = 25

= \frac{25}{e ^{0.69}}

e^{0.69} = 1.99371 \dots

= \frac{25}{1.99371 \dots}

Divide the numbers:

\frac{25}{1.99371 \dots} = 12.53940 \dots

= 12.53940 \dots

(1.392 x 1 0^{27}) (8.7 x 1 0^{- 11})

- (5 x 1 0^{10}) 1.6 x 1 0^{- 19}

e^{- 58.39179}

[[(- 3)^{2}]^{2}]^{3}

5.89 \cdot 1 0^{- 5}