What is 60*e^{(-0.538*5.25)} ?

The solution to 60*e^{(-0.538*5.25)} is 3.56029…

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simplify 60e^{(-0.5385.25)}

simplify

60 \cdot e^{(- 0.538 \cdot 5.25)}

3.56029 \dots

Solution steps

60 e^{(- 0.538 \cdot 5.25)}

Apply exponent rule:

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

= 60 \cdot \frac{1}{e ^{0.538 \cdot 5.25}}

Multiply the numbers:

0.538 \cdot 5.25 = 2.8245

= 60 \cdot \frac{1}{e ^{2.8245}}

Multiply fractions:

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

= \frac{1 \cdot 60}{e ^{2.8245}}

Multiply the numbers:

1 \cdot 60 = 60

= \frac{60}{e ^{2.8245}}

e^{2.8245} = 16.85251 \dots

= \frac{60}{16.85251 \dots}

Divide the numbers:

\frac{60}{16.85251 \dots} = 3.56029 \dots

= 3.56029 \dots

\frac{- 49}{- 7}

e^{- l n (x^{12})}

7.648 \cdot 1 0^{- 2}

(e^{x}) (e^{- x})

e^{- 0.00043 (960)}