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Popular >

simplify (e^{-2}*2^0)/(0!)

Solution

simplify

\frac{e ^{- 2} \cdot 2 ^{0}}{0 !}

Solution

\frac{1}{e ^{2}}

+1

Decimal Notation

0.13533 \dots

Solution steps

\frac{e ^{- 2} \cdot 2 ^{0}}{0 !}

Apply rule

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

2^{0} = 1

= \frac{1 \cdot e ^{- 2}}{0 !}

Multiply:

e^{- 2} \cdot 1 = e^{- 2}

= \frac{e ^{- 2}}{0 !}

Apply factorial rule:

0! = 1

= \frac{e ^{- 2}}{1}

Apply rule

\frac{a}{1} = a

= e^{- 2}

Apply exponent rule:

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

= \frac{1}{e ^{2}}

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Frequently Asked Questions (FAQ)

What is (e^{-2}*2^0)/(0!) ?
The solution to (e^{-2}*2^0)/(0!) is 1/(e^2)