What is 7e^{-0.093(41)} ?

The solution to 7e^{-0.093(41)} is 0.15457…

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simplify 7e^{-0.093(41)}

simplify

7 e^{- 0.093 (41)}

0.15457 \dots

Solution steps

7 e^{- 0.093 (41)}

Apply exponent rule:

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

= 7 \cdot \frac{1}{e ^{41 \cdot 0.093}}

Multiply the numbers:

0.093 \cdot 41 = 3.813

= 7 \cdot \frac{1}{e ^{3.813}}

Multiply fractions:

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

= \frac{1 \cdot 7}{e ^{3.813}}

Multiply the numbers:

1 \cdot 7 = 7

= \frac{7}{e ^{3.813}}

e^{3.813} = 45.28609 \dots

= \frac{7}{45.28609 \dots}

Divide the numbers:

\frac{7}{45.28609 \dots} = 0.15457 \dots

= 0.15457 \dots

3.98 \cdot 1 0^{- 3}

0.18 \cdot e^{- 0.0131}

25 x^{2} y^{3} z^{2}

3.98 \cdot 1 0^{- 2}

(4 x^{4} y^{2}) (4 x^{5} y^{3})