What is 82.94e^{-0.053*(207/365)}*0.7116 ?

The solution to 82.94e^{-0.053*(207/365)}*0.7116 is 57.27250…

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simplify 82.94e^{-0.053(207/365)}0.7116

simplify

82.94 e^{- 0.053 \cdot (\frac{207}{365})} \cdot 0.7116

57.27250 \dots

Solution steps

82.94 e^{- 0.053 (\frac{207}{365})} \cdot 0.7116

Apply exponent rule:

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

= 0.7116 \cdot 82.94 \cdot \frac{1}{e ^{0.053 \cdot \frac{207}{365}}}

\frac{1}{e ^{0.053 \cdot \frac{207}{365}}} = \frac{1}{e ^{0.03005 \dots}}

= 0.7116 \cdot 82.94 \cdot \frac{1}{e ^{0.03005 \dots}}

Multiply the numbers:

82.94 \cdot 0.7116 = 59.020104

= 59.020104 \cdot \frac{1}{e ^{0.03005 \dots}}

Multiply fractions:

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

= \frac{1 \cdot 59.020104}{e ^{0.03005 \dots}}

Multiply the numbers:

1 \cdot 59.020104 = 59.020104

= \frac{59.020104}{e ^{0.03005 \dots}}

e^{0.03005 \dots} = 1.03051 \dots

= \frac{59.020104}{1.03051 \dots}

Divide the numbers:

\frac{59.020104}{1.03051 \dots} = 57.27250 \dots

= 57.27250 \dots

4.8 \cdot 1 0^{- 1}

998 \cdot 2.36 \cdot 1 0^{- 3} \cdot 9.81

\frac{2}{3} \cdot (3 - x)^{\frac{3}{2}}

e^{x} (e^{- 3 x - 4})

\frac{5.98 \cdot 1 0 ^{24}}{6.63 \cdot 1 0 ^{6}} \cdot 6.67 \cdot 1 0^{- 11}

What is 82.94e^{-0.053*(207/365)}*0.7116 ?
The solution to 82.94e^{-0.053*(207/365)}*0.7116 is 57.27250…