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Popular >

simplify (e^{8x})/(e^{-8x)}

Solution

simplify

\frac{e ^{8 x}}{e ^{- 8 x}}

Solution

e^{16 x}

Solution steps

\frac{e ^{8 x}}{e ^{- 8 x}}

Apply exponent rule:

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

= e^{8 x - (- 8 x)}

Apply rule

- (- a) = a

= e^{8 x + 8 x}

Add similar elements:

8 x + 8 x = 16 x

= e^{16 x}

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Frequently Asked Questions (FAQ)

What is (e^{8x})/(e^{-8x)} ?
The solution to (e^{8x})/(e^{-8x)} is e^{16x}