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Popular >

simplify e^{ax}e^{b/c x}

Solution

simplify

e^{a x} e^{\frac{b}{c} x}

Solution

e^{a x + \frac{b x}{c}}

Solution steps

e^{a x} e^{\frac{b}{c} x}

Apply exponent rule:

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

e^{a x} e^{\frac{b}{c} x} = e^{a x + \frac{b}{c} x}

= e^{a x + \frac{b}{c} x}

Multiply

\frac{b}{c} x : \frac{b x}{c}

= e^{a x + \frac{b x}{c}}

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Frequently Asked Questions (FAQ)

What is e^{ax}e^{b/c x} ?
The solution to e^{ax}e^{b/c x} is e^{ax+(bx)/c}