What is (4^6)/(6!)e^{-4} ?

The solution to (4^6)/(6!)e^{-4} is (256)/(45e^4)

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simplify (4^6)/(6!)e^{-4}

simplify

\frac{4 ^{6}}{6 !} e^{- 4}

\frac{256}{45 e ^{4}}

Decimal

0.10419 \dots

Solution steps

\frac{4 ^{6}}{6 !} e^{- 4}

Apply exponent rule:

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

= \frac{1}{e ^{4}} \cdot \frac{4 ^{6}}{6 !}

Multiply fractions:

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

= \frac{4 ^{6} \cdot 1}{6 ! e ^{4}}

Multiply:

4^{6} \cdot 1 = 4^{6}

= \frac{4 ^{6}}{e ^{4} \cdot 6 !}

4^{6} = 4096

= \frac{4096}{e ^{4} \cdot 6 !}

6! e^{4} = 720 e^{4}

= \frac{4096}{720 e ^{4}}

Cancel the common factor:

16

= \frac{256}{45 e ^{4}}

2 x (2 x)

(x^{2} - 5 x + 4) m e t er s^{2}

\frac{0. 6 ^{2}}{0. 3 ^{2}}

9 2^{7}

(2.69 x 1 0^{- 5}) (1.6 6^{2})