What is e^{-1.17*10^{-4}(5240)} ?

The solution to e^{-1.17*10^{-4}(5240)} is 0.54167…

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simplify e^{-1.17*10^{-4}(5240)}

simplify

e^{- 1.17 \cdot 1 0^{- 4} (5240)}

0.54167 \dots

Solution steps

e^{- 1.17 \cdot 1 0^{- 4} (5240)}

Apply exponent rule:

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

= \frac{1}{e ^{1 0^{- 4} \cdot 5240 \cdot 1.17}}

Multiply the numbers:

1.17 \cdot 5240 = 6130.8

= \frac{1}{e ^{1 0^{- 4} \cdot 6130.8}}

e^{6130.8 \cdot 1 0^{- 4}} = e^{0.61308}

= \frac{1}{e ^{0.61308}}

e^{0.61308} = 1.84610 \dots

= \frac{1}{1.84610 \dots}

Divide the numbers:

\frac{1}{1.84610 \dots} = 0.54167 \dots

= 0.54167 \dots

\frac{1 2 ^{2}}{1 0 ^{2}} \cdot (2.575 + 0.84)^{2}

- 2.18 \cdot 1 0^{- 18} (1) (\frac{1}{1 ^{2}} - \frac{1}{3 ^{2}})

\frac{4.1172 \cdot ( 5.6 \cdot 1 0 ^{6} )}{8} (6.545 \cdot 1 0^{- 3})

2 π (9.1 \cdot 1 0^{- 31})

6.71 \cdot 1 0^{- 22} \cdot 0.082 \cdot (426 - 292)

What is e^{-1.17*10^{-4}(5240)} ?
The solution to e^{-1.17*10^{-4}(5240)} is 0.54167…