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Popular >

simplify (e^x)/(e^{5+x)}

Solution

simplify

\frac{e ^{x}}{e ^{5 + x}}

Solution

\frac{1}{e ^{5}}

+1

Decimal Notation

0.00673 \dots

Solution steps

\frac{e ^{x}}{e ^{5 + x}}

Apply exponent rule:

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

= e^{x - (x + 5)}

Expand

x - (5 + x) : - 5

= e^{- 5}

Apply exponent rule:

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

= \frac{1}{e ^{5}}

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Frequently Asked Questions (FAQ)

What is (e^x)/(e^{5+x)} ?
The solution to (e^x)/(e^{5+x)} is 1/(e^5)