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Popular >

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

Solution

simplify

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

Solution

e^{3 x}

Solution steps

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

Apply exponent rule:

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

= e^{x} e^{x - (- x)}

Apply rule

- (- a) = a

= e^{x} e^{x + x}

Apply exponent rule:

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

e^{x} e^{x + x} = e^{x + x + x}

= e^{x + x + x}

Add similar elements:

x + x + x = 3 x

= e^{3 x}

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Frequently Asked Questions (FAQ)

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