What is e^xsin(x)*e^xsin(x) ?

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

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simplify e^xsin(x)*e^xsin(x)

simplify

e^{x} sin (x) \cdot e^{x} sin (x)

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

Solution steps

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

Apply exponent rule:

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

sin (x) sin (x) = sin^{1 + 1} (x)

= e^{x} e^{x} sin^{1 + 1} (x)

Add the numbers:

1 + 1 = 2

= 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 = 2 x

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

(4 3 x - 3) (4 3 x + 3)

100000 (4.75)^{- 5}

f (- 2 x + 1) \circ f (5 x^{2} - 125)

e^{- r x} e^{r x}

What is e^xsin(x)*e^xsin(x) ?
The solution to e^xsin(x)*e^xsin(x) is e^{2x}sin^2(x)