What is e^{-t/(11)}*e^{c/(11)} ?

The solution to e^{-t/(11)}*e^{c/(11)} is e^{(-t+c)/(11)}

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simplify e^{-t/(11)}*e^{c/(11)}

simplify

e^{- \frac{t}{11}} \cdot e^{\frac{c}{11}}

e^{\frac{- t + c}{11}}

Solution steps

e^{- \frac{t}{11}} e^{\frac{c}{11}}

Apply exponent rule:

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

= e^{\frac{c}{11}} \frac{1}{e ^{\frac{t}{11}}}

Multiply fractions:

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

= \frac{1 \cdot e ^{\frac{c}{11}}}{e ^{\frac{t}{11}}}

Multiply:

1 \cdot e^{\frac{c}{11}} = e^{\frac{c}{11}}

= \frac{e ^{\frac{c}{11}}}{e ^{\frac{t}{11}}}

Apply exponent rule:

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

\frac{e ^{\frac{c}{11}}}{e ^{\frac{t}{11}}} = e^{\frac{c}{11} - \frac{t}{11}} = e^{\frac{- t + c}{11}}

= e^{\frac{c - t}{11}}

- e^{u - v} \cdot e^{u + v}

(1.05 \cdot 1 0^{- 16}) \cdot 362226.81 6^{3}

\frac{9 \cdot 1 0 ^{9}}{0.75} (20 + 40 - 30 + 10) \cdot 1 0^{- 6}

(x y)^{3}

What is e^{-t/(11)}*e^{c/(11)} ?
The solution to e^{-t/(11)}*e^{c/(11)} is e^{(-t+c)/(11)}