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Popular >

simplify e^{(-6(0.25)^2)}

Solution

simplify

e^{(- 6 (0.25)^{2})}

Solution

0.68728 \dots

Solution steps

e^{(- 6 (0.25)^{2})}

Apply exponent rule:

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

= \frac{1}{e ^{6 \cdot 0.2 5^{2}}}

e^{6 \cdot 0.2 5^{2}} = e^{0.375}

= \frac{1}{e ^{0.375}}

e^{0.375} = 1.45499 \dots

= \frac{1}{1.45499 \dots}

Divide the numbers:

\frac{1}{1.45499 \dots} = 0.68728 \dots

= 0.68728 \dots

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Frequently Asked Questions (FAQ)

What is e^{(-6(0.25)^2)} ?
The solution to e^{(-6(0.25)^2)} is 0.68728…