What is (e^x)(e^{-x}sin(2x)) ?

The solution to (e^x)(e^{-x}sin(2x)) is sin(2x)

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simplify (e^x)(e^{-x}sin(2x))

simplify

(e^{x}) (e^{- x} sin (2 x))

sin (2 x)

Solution steps

(e^{x}) (e^{- x} sin (2 x))

Apply exponent rule:

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

e^{x} e^{- x} = e^{x - x}

= e^{x - x} sin (2 x)

Add similar elements:

x - x = 0

= e^{0} sin (2 x)

Apply rule

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

e^{0} = 1

= 1 \cdot sin (2 x)

Multiply:

1 \cdot sin (2 x) = sin (2 x)

= sin (2 x)

30000 ((1.12)^{1} 1.12)

see d^{22} (25)

5 (1 0^{- 5}) (e^{- \frac{284000}{8.31 ( 1373 )}})

e^{3 x} \cdot 2 e^{x}

(x - 4)^{2} \cdot (x - 5)^{2}