What is 2.53e^{-0.023(3)} ?

The solution to 2.53e^{-0.023(3)} is 2.36131…

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simplify 2.53e^{-0.023(3)}

simplify

2.53 e^{- 0.023 (3)}

2.36131 \dots

Solution steps

2.53 e^{- 0.023 (3)}

Apply exponent rule:

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

= 2.53 \cdot \frac{1}{e ^{3 \cdot 0.023}}

Multiply the numbers:

0.023 \cdot 3 = 0.069

= 2.53 \cdot \frac{1}{e ^{0.069}}

Multiply fractions:

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

= \frac{1 \cdot 2.53}{e ^{0.069}}

Multiply the numbers:

1 \cdot 2.53 = 2.53

= \frac{2.53}{e ^{0.069}}

e^{0.069} = 1.07143 \dots

= \frac{2.53}{1.07143 \dots}

Divide the numbers:

\frac{2.53}{1.07143 \dots} = 2.36131 \dots

= 2.36131 \dots

8.24 \cdot 1 0^{- 6}

- 2.53 e^{- 0.023 \cdot 3}

6.6 \cdot 1 0^{- 4}

6.6 \cdot 1 0^{- 3}

\frac{e ^{2}}{2 ^{2}}