What is e^{-5}*(5^0)/(5!) ?

The solution to e^{-5}*(5^0)/(5!) is 1/(120e^5)

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simplify e^{-5}*(5^0)/(5!)

simplify

e^{- 5} \cdot \frac{5 ^{0}}{5 !}

\frac{1}{120 e ^{5}}

Decimal Notation

0.00005 \dots

Solution steps

e^{- 5} \frac{5 ^{0}}{5 !}

Apply exponent rule:

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

= \frac{1}{e ^{5}} \cdot \frac{5 ^{0}}{5 !}

Apply rule

a^{0} = 1, a \neq = 0

5^{0} = 1

= \frac{1}{5 !} \cdot \frac{1}{e ^{5}}

Multiply fractions:

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

= \frac{1 \cdot 1}{e ^{5} \cdot 5 !}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{e ^{5} \cdot 5 !}

e^{5} \cdot 5! = 120 e^{5}

= \frac{1}{120 e ^{5}}

(3 x^{3}) x^{2}

23.6 \cdot 1 0^{- 6} \cdot 180

8.01 \cdot 1 0^{- 19}

e^{- 348}

\frac{2. 1 ^{2}}{0.8 8 ^{2}}