What is 20 1/4 e^{-4 1/4} ?

The solution to 20 1/4 e^{-4 1/4} is (81)/(4e^{17/4)}

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simplify 20 1/4 e^{-4 1/4}

simplify

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

\frac{81}{4 e ^{\frac{17}{4}}}

Decimal Notation

0.28885 \dots

Solution steps

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

Convert mixed numbers to improper fractions:

20 \frac{1}{4} = \frac{81}{4}

= \frac{81}{4} e^{- 4 \frac{1}{4}}

Convert mixed numbers to improper fractions:

4 \frac{1}{4} = \frac{17}{4}

= \frac{81}{4} e^{- \frac{17}{4}}

Apply exponent rule:

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

= \frac{81}{4} \cdot \frac{1}{e ^{\frac{17}{4}}}

Multiply fractions:

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

= \frac{81 \cdot 1}{4 e ^{\frac{17}{4}}}

Multiply the numbers:

81 \cdot 1 = 81

= \frac{81}{4 e ^{\frac{17}{4}}}

23.04 \cdot 1 0^{- 29}

(\frac{1}{2} mn) (8 m^{2} n^{2})

5.6 \cdot 1 0^{- 2}

7.78 \cdot 1 0^{- 8}

What is 20 1/4 e^{-4 1/4} ?
The solution to 20 1/4 e^{-4 1/4} is (81)/(4e^{17/4)}