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Popular >

simplify (e^{-4}*4^0)/(0!)

Solution

simplify

\frac{e ^{- 4} \cdot 4 ^{0}}{0 !}

Solution

\frac{1}{e ^{4}}

+1

Solution steps

\frac{e ^{- 4} \cdot 4 ^{0}}{0 !}

Apply rule

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

4^{0} = 1

= \frac{1 \cdot e ^{- 4}}{0 !}

Multiply:

e^{- 4} \cdot 1 = e^{- 4}

= \frac{e ^{- 4}}{0 !}

Apply factorial rule:

0! = 1

= \frac{e ^{- 4}}{1}

Apply rule

\frac{a}{1} = a

= e^{- 4}

Apply exponent rule:

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

= \frac{1}{e ^{4}}

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Frequently Asked Questions (FAQ)

What is (e^{-4}*4^0)/(0!) ?
The solution to (e^{-4}*4^0)/(0!) is 1/(e^4)