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Popular >

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

Solution

simplify

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

Solution

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

+1

Decimal Notation

0.01831 \dots

Solution steps

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

Apply exponent rule:

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

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

Apply rule

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

4^{0} = 1

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

\frac{1}{0 !} = 1

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

Multiply:

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

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

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Frequently Asked Questions (FAQ)

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