What is 76e^{-60*(4.71*10^{-3})} ?

The solution to 76e^{-60*(4.71*10^{-3})} is 57.29041…

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simplify 76e^{-60(4.7110^{-3})}

simplify

76 e^{- 60 \cdot (4.71 \cdot 1 0^{- 3})}

57.29041 \dots

Solution steps

76 e^{- 60 (4.71 \cdot 1 0^{- 3})}

Apply exponent rule:

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

= 76 \cdot \frac{1}{e ^{1 0^{- 3} \cdot 60 \cdot 4.71}}

\frac{1}{e ^{60 \cdot 4.71 \cdot 1 0^{- 3}}} = \frac{1}{e ^{0.2826}}

= 76 \cdot \frac{1}{e ^{0.2826}}

Multiply fractions:

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

= \frac{1 \cdot 76}{e ^{0.2826}}

Multiply the numbers:

1 \cdot 76 = 76

= \frac{76}{e ^{0.2826}}

e^{0.2826} = 1.32657 \dots

= \frac{76}{1.32657 \dots}

Divide the numbers:

\frac{76}{1.32657 \dots} = 57.29041 \dots

= 57.29041 \dots

\frac{1}{3} \cdot 3.14 \cdot 1 9^{2} \cdot 19

\frac{1}{( 8.99 \cdot 1 0 ^{9} )} \cdot 2^{\frac{1}{3}} \cdot (2 \cdot 1 0^{- 3})

0.34 \cdot (19 \cdot 1 0^{- 6}) \cdot 55

30 e^{- 3710 \cdot 2500}

3.5 \cdot 0.02 \cdot 1.3 \cdot 2.9 \cdot e^{(- 0.02 \cdot 2.9 \cdot 1.3 \cdot 2.9)}

What is 76e^{-60*(4.71*10^{-3})} ?
The solution to 76e^{-60*(4.71*10^{-3})} is 57.29041…