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Popular >

simplify e^{(-6(0.5)^2)}

Solution

simplify

e^{(- 6 (0.5)^{2})}

Solution

0.22313 \dots

Solution steps

e^{(- 6 (0.5)^{2})}

Apply exponent rule:

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

= \frac{1}{e ^{6 \cdot 0. 5^{2}}}

e^{6 \cdot 0. 5^{2}} = e^{1.5}

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

e^{1.5} = 4.48168 \dots

= \frac{1}{4.48168 \dots}

Divide the numbers:

\frac{1}{4.48168 \dots} = 0.22313 \dots

= 0.22313 \dots

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Frequently Asked Questions (FAQ)

What is e^{(-6(0.5)^2)} ?
The solution to e^{(-6(0.5)^2)} is 0.22313…