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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

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

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

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Multiply:

1 \cdot d x = d x

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

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Frequently Asked Questions (FAQ)

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