What is e^{2x}(1/2 e^{2x}) ?

The solution to e^{2x}(1/2 e^{2x}) is 1/2 e^{4x}

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simplify e^{2x}(1/2 e^{2x})

simplify

e^{2 x} (\frac{1}{2} e^{2 x})

\frac{1}{2} e^{4 x}

Solution steps

e^{2 x} (\frac{1}{2} e^{2 x})

Apply exponent rule:

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

e^{2 x} e^{2 x} = e^{2 x + 2 x}

= \frac{1}{2} e^{2 x + 2 x}

Add similar elements:

2 x + 2 x = 4 x

= \frac{1}{2} e^{4 x}

((\frac{1}{4})^{'})^{- 2}

0.2 \cdot 1 0^{- 3} \cdot \frac{38 \cdot 3.5}{183.4 \cdot 10}

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

2 \cdot b