What is 7e^{-0.093*32} ?

The solution to 7e^{-0.093*32} is 0.35697…

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simplify 7e^{-0.093*32}

simplify

7 e^{- 0.093 \cdot 32}

0.35697 \dots

Solution steps

7 e^{- 0.093 \cdot 32}

Apply exponent rule:

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

= 7 \cdot \frac{1}{e ^{32 \cdot 0.093}}

Multiply the numbers:

0.093 \cdot 32 = 2.976

= 7 \cdot \frac{1}{e ^{2.976}}

Multiply fractions:

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

= \frac{1 \cdot 7}{e ^{2.976}}

Multiply the numbers:

1 \cdot 7 = 7

= \frac{7}{e ^{2.976}}

e^{2.976} = 19.60922 \dots

= \frac{7}{19.60922 \dots}

Divide the numbers:

\frac{7}{19.60922 \dots} = 0.35697 \dots

= 0.35697 \dots

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