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Popular >

simplify e^{-2/30.110}

Solution

simplify

e^{- \frac{2}{3} \cdot 0.1 \cdot 10}

Solution

0.51341 \dots

Solution steps

e^{- \frac{2}{3} \cdot 0.1 \cdot 10}

Apply exponent rule:

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

= \frac{1}{e ^{10 \cdot 0.1 \cdot \frac{2}{3}}}

Multiply:

\frac{2}{3} \cdot 0.1 \cdot 10 = \frac{2}{3}

= \frac{1}{e ^{\frac{2}{3}}}

Convert element to a decimal form

e^{\frac{2}{3}} = 1.94773 \dots

= \frac{1}{1.94773 \dots}

Divide the numbers:

\frac{1}{1.94773 \dots} = 0.51341 \dots

= 0.51341 \dots

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Frequently Asked Questions (FAQ)

What is e^{-2/3*0.1*10} ?
The solution to e^{-2/3*0.1*10} is 0.51341…