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Popular >

simplify e^{-((6^2)/2)}*4

Solution

simplify

e^{- (\frac{6 ^{2}}{2})} \cdot 4

Solution

\frac{4}{e ^{18}}

+1

Decimal Notation

6.09199 E - 8

Solution steps

e^{- (\frac{6 ^{2}}{2})} \cdot 4

Apply exponent rule:

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

= 4 \cdot \frac{1}{e ^{\frac{6 ^{2}}{2}}}

\frac{1}{e ^{\frac{6 ^{2}}{2}}} = \frac{1}{e ^{3^{2} \cdot 2}}

= 4 \cdot \frac{1}{e ^{3^{2} \cdot 2}}

Multiply fractions:

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

= \frac{1 \cdot 4}{e ^{3^{2} \cdot 2}}

Multiply the numbers:

1 \cdot 4 = 4

= \frac{4}{e ^{3^{2} \cdot 2}}

e^{3^{2} \cdot 2} = e^{18}

= \frac{4}{e ^{18}}

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Frequently Asked Questions (FAQ)

What is e^{-((6^2)/2)}*4 ?
The solution to e^{-((6^2)/2)}*4 is 4/(e^{18)}