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Popular >

simplify ((e^{x-7}))/(e^{x-4)}

Solution

simplify

\frac{( e ^{x - 7} )}{e ^{x - 4}}

Solution

\frac{1}{e ^{3}}

+1

Decimal Notation

0.04978 \dots

Solution steps

\frac{( e ^{x - 7} )}{e ^{x - 4}}

Apply exponent rule:

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

= e^{x - 7 - (x - 4)}

Expand

x - 7 - (x - 4) : - 3

= e^{- 3}

Apply exponent rule:

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

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

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Frequently Asked Questions (FAQ)

What is ((e^{x-7}))/(e^{x-4)} ?
The solution to ((e^{x-7}))/(e^{x-4)} is 1/(e^3)