What is e^{-5}(5^3)/(2!) ?

The solution to e^{-5}(5^3)/(2!) is (125)/(2e^5)

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simplify e^{-5}(5^3)/(2!)

simplify

e^{- 5} \frac{5 ^{3}}{2 !}

\frac{125}{2 e ^{5}}

Solution steps

e^{- 5} \frac{5 ^{3}}{2 !}

Apply exponent rule:

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

= \frac{1}{e ^{5}} \cdot \frac{5 ^{3}}{2 !}

Multiply fractions:

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

= \frac{1 \cdot 5 ^{3}}{e ^{5} \cdot 2 !}

Multiply:

1 \cdot 5^{3} = 5^{3}

= \frac{5 ^{3}}{e ^{5} \cdot 2 !}

5^{3} = 125

= \frac{125}{e ^{5} \cdot 2 !}

e^{5} \cdot 2! = 2 e^{5}

= \frac{125}{2 e ^{5}}

(5) \cdot (e^{- 5 t})

10 cos (t) (e^{- 3 t})

(2 \cdot 1 0^{3}) (2.9 \cdot 1 0^{2})

\frac{( 0.16 ) ^{2}}{( 0.14 ) ^{2}}

\frac{d ^{2}}{d ^{2} x} (e^{- x}) ln (x)