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Popular >

simplify e^{-3}(3^1)/(1!)

Solution

simplify

e^{- 3} \frac{3 ^{1}}{1 !}

Solution

\frac{3}{e ^{3}}

+1

Decimal Notation

0.14936 \dots

Solution steps

e^{- 3} \frac{3 ^{1}}{1 !}

Apply exponent rule:

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

= \frac{1}{e ^{3}} \cdot \frac{3 ^{1}}{1 !}

Apply rule

a^{1} = a

3^{1} = 3

= \frac{3}{1 !} \cdot \frac{1}{e ^{3}}

Multiply fractions:

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

= \frac{1 \cdot 3}{e ^{3} \cdot 1 !}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{3}{e ^{3} \cdot 1 !}

e^{3} \cdot 1! = e^{3}

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

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Frequently Asked Questions (FAQ)

What is e^{-3}(3^1)/(1!) ?
The solution to e^{-3}(3^1)/(1!) is 3/(e^3)