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Popular >

simplify ((e^{2x})/6)e^{-x}

Solution

simplify

(\frac{e ^{2 x}}{6}) e^{- x}

Solution

\frac{e ^{x}}{6}

Solution steps

(\frac{e ^{2 x}}{6}) e^{- x}

Apply exponent rule:

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

= \frac{e ^{2 x}}{6} \cdot \frac{1}{e ^{x}}

Multiply fractions:

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

= \frac{e ^{2 x} \cdot 1}{6 e ^{x}}

Multiply:

e^{2 x} \cdot 1 = e^{2 x}

= \frac{e ^{2 x}}{6 e ^{x}}

Apply exponent rule:

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

\frac{e ^{2 x}}{e ^{x}} = e^{2 x - x} = e^{x}

= \frac{e ^{x}}{6}

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Frequently Asked Questions (FAQ)

What is ((e^{2x})/6)e^{-x} ?
The solution to ((e^{2x})/6)e^{-x} is (e^x)/6