What is 0.984e^{-0.0123(2)} ?

The solution to 0.984e^{-0.0123(2)} is 0.96008…

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simplify 0.984e^{-0.0123(2)}

simplify

0.984 e^{- 0.0123 (2)}

0.96008 \dots

Solution steps

0.984 e^{- 0.0123 (2)}

Apply exponent rule:

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

= 0.984 \cdot \frac{1}{e ^{2 \cdot 0.0123}}

Multiply the numbers:

0.0123 \cdot 2 = 0.0246

= 0.984 \cdot \frac{1}{e ^{0.0246}}

Multiply fractions:

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

= \frac{1 \cdot 0.984}{e ^{0.0246}}

Multiply the numbers:

1 \cdot 0.984 = 0.984

= \frac{0.984}{e ^{0.0246}}

e^{0.0246} = 1.02490 \dots

= \frac{0.984}{1.02490 \dots}

Divide the numbers:

\frac{0.984}{1.02490 \dots} = 0.96008 \dots

= 0.96008 \dots

2 (9.11 \cdot 1 0^{- 31})

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1.215 \cdot 1 0^{- 6}

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