What is e^{-1/(1.5)*30} ?

The solution to e^{-1/(1.5)*30} is 2.06115E-9

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simplify e^{-1/(1.5)*30}

simplify

e^{- \frac{1}{1.5} \cdot 30}

2.06115 E - 9

Solution steps

e^{- \frac{1}{1.5} \cdot 30}

Apply exponent rule:

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

= \frac{1}{e ^{30 \cdot \frac{1}{1.5}}}

e^{\frac{1}{1.5} \cdot 30} = e^{20}

= \frac{1}{e ^{20}}

Convert element to a decimal form

e^{20} = 485165195.40978 \dots

= \frac{1}{485165195.40978 \dots}

Divide the numbers:

\frac{1}{485165195.40978 \dots} = 2.06115 E - 9

= 2.06115 E - 9

e^{2 x} e^{3 y}

e^{3 x} \cdot 2 x e^{- 3 x}

0.5 \cdot e^{- 1}

(2)^{\frac{2}{5}}

(\frac{1}{2})^{- 2}