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Popular >

simplify e^{(x^2)/x}e^{3x}

Solution

simplify

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

Solution

e^{4 x}

Solution steps

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

Apply exponent rule:

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

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

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

Cancel

\frac{x ^{2}}{x} : x

= e^{x + 3 x}

Add similar elements:

x + 3 x = 4 x

= e^{4 x}

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Frequently Asked Questions (FAQ)

What is e^{(x^2)/x}e^{3x} ?
The solution to e^{(x^2)/x}e^{3x} is e^{4x}