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Popular >

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

Solution

simplify

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

Solution

\frac{1}{2} e^{3 x}

Solution steps

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

Apply exponent rule:

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

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

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

Add similar elements:

x + 2 x = 3 x

= \frac{1}{2} e^{3 x}

Popular Examples

simplify 2.32*10^{-6}simplify

2.32 \cdot 1 0^{- 6}

f(x)=cos^2(x)sin^2(x)

f (x) = cos^{2} (x) sin^{2} (x)

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2.32 \cdot 1 0^{- 4}

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e^{- 2.355}

simplify 2.32*10^{-3}simplify

2.32 \cdot 1 0^{- 3}

Frequently Asked Questions (FAQ)

What is e^x(1/2 e^{2x}) ?
The solution to e^x(1/2 e^{2x}) is 1/2 e^{3x}