What is 18/980 (2.718^{-(10)/(980*1.5*10^{-5)}}) ?

The solution to 18/980 (2.718^{-(10)/(980*1.5*10^{-5)}}) is 7.18217E-298

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simplify 18/980 (2.718^{-(10)/(9801.510^{-5)}})

simplify

\frac{18}{980} (2.71 8^{- \frac{10}{980 \cdot 1.5 \cdot 1 0 ^{- 5}}})

7.18217 E - 298

Solution steps

\frac{18}{980} (2.71 8^{- \frac{10}{980 \cdot 1.5 \cdot 1 0 ^{- 5}}})

Apply exponent rule:

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

= \frac{18}{980} \cdot \frac{1}{2.71 8 ^{\frac{10}{1 0 ^{- 5} \cdot 980 \cdot 1.5}}}

\frac{18}{980} = \frac{9}{490}

= \frac{9}{490} \cdot \frac{1}{2.71 8 ^{\frac{10}{1 0 ^{- 5} \cdot 980 \cdot 1.5}}}

\frac{1}{2.71 8 ^{\frac{10}{980 \cdot 1.5 \cdot 1 0 ^{- 5}}}} = \frac{1}{2.71 8 ^{\frac{1}{1 0 ^{- 5} \cdot 147}}}

= \frac{9}{490} \cdot \frac{1}{2.71 8 ^{\frac{1}{1 0 ^{- 5} \cdot 147}}}

Multiply fractions:

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

= \frac{9 \cdot 1}{490 \cdot 2.71 8 ^{\frac{1}{1 0 ^{- 5} \cdot 147}}}

Multiply the numbers:

9 \cdot 1 = 9

= \frac{9}{490 \cdot 2.71 8 ^{\frac{1}{1 0 ^{- 5} \cdot 147}}}

2.71 8^{\frac{1}{1 0 ^{- 5} \cdot 147}} = 2.71 8^{\frac{100000}{147}}

= \frac{9}{490 \cdot 2.71 8 ^{\frac{100000}{147}}}

2.71 8^{\frac{100000}{147}} = 2.55735 E 295

= \frac{9}{490 \cdot 2.55735 E 295}

Multiply the numbers:

490 \cdot 2.55735 E 295 = 1.2531 E 298

= \frac{9}{1.2531 E 298}

Divide the numbers:

\frac{9}{1.2531 E 298} = 7.18217 E - 298

= 7.18217 E - 298

2.8454 \cdot 1 0^{- 3} (0.49)

8 e^{- 4 x}

(2.5 \cdot 1 0^{- 11}) \cdot 101.325

a e^{- 2 t} u (- t - b)

e^{- 30 \cdot 0.33 \cdot 2}

What is 18/980 (2.718^{-(10)/(980*1.5*10^{-5)}}) ?
The solution to 18/980 (2.718^{-(10)/(980*1.5*10^{-5)}}) is 7.18217E-298