What is lapace(2e^{-pi/4 s}) ?

The solution to lapace(2e^{-pi/4 s}) is 2le^{-(pis)/4+1}a^2pc

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simplify lapace(2e^{-pi/4 s})

simplify

l a p a ce (2 e^{- \frac{π}{4} s})

2 l e^{- \frac{π s}{4} + 1} a^{2} p c

Solution steps

l a p a ce (2 e^{- \frac{π}{4} s})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

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

= l a p a c \cdot 2 e^{1 - \frac{π}{4} s}

Multiply

\frac{π}{4} s : \frac{π s}{4}

= l a p a c \cdot 2 e^{1 - \frac{π s}{4}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

aa = a^{1 + 1}

= lp a^{1 + 1} c \cdot 2 e^{1 - \frac{π s}{4}}

Add the numbers:

1 + 1 = 2

= lp a^{2} c \cdot 2 e^{1 - \frac{π s}{4}}

(x + 3) (x + 3)

n^{\frac{4}{5}} m^{\frac{1}{5}} p^{\frac{4}{5}}

(a + a^{2} - 16) (a - a^{2} - 16)

(3 x - 2)^{2} (2 x - 3)^{2}

What is lapace(2e^{-pi/4 s}) ?
The solution to lapace(2e^{-pi/4 s}) is 2le^{-(pis)/4+1}a^2pc