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Popular >

simplify (e^{12x})/(e^{4/3 x)}

Solution

simplify

\frac{e ^{12 x}}{e ^{\frac{4}{3} x}}

Solution

e^{\frac{32 x}{3}}

Solution steps

\frac{e ^{12 x}}{e ^{\frac{4}{3} x}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

= e^{12 x - \frac{4}{3} x}

Simplify

12 x - \frac{4}{3} x : \frac{32}{3} x

= e^{\frac{32}{3} x}

Multiply

\frac{32}{3} x : \frac{32 x}{3}

= e^{\frac{32 x}{3}}

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Frequently Asked Questions (FAQ)

What is (e^{12x})/(e^{4/3 x)} ?
The solution to (e^{12x})/(e^{4/3 x)} is e^{(32x)/3}