What is 7(e)^{-0.093(42)} ?

The solution to 7(e)^{-0.093(42)} is 0.14084…

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simplify 7(e)^{-0.093(42)}

simplify

7 (e)^{- 0.093 (42)}

0.14084 \dots

Solution steps

7 (e)^{- 0.093 (42)}

Apply exponent rule:

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

= 7 \cdot \frac{1}{e ^{42 \cdot 0.093}}

Multiply the numbers:

0.093 \cdot 42 = 3.906

= 7 \cdot \frac{1}{e ^{3.906}}

Multiply fractions:

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

= \frac{1 \cdot 7}{e ^{3.906}}

Multiply the numbers:

1 \cdot 7 = 7

= \frac{7}{e ^{3.906}}

e^{3.906} = 49.69975 \dots

= \frac{7}{49.69975 \dots}

Divide the numbers:

\frac{7}{49.69975 \dots} = 0.14084 \dots

= 0.14084 \dots

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