What is (Vs)/R e^{-t/(RC)} ?

The solution to (Vs)/R e^{-t/(RC)} is (Vs)/(e^{t/(RC))R}

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simplify (Vs)/R e^{-t/(RC)}

simplify

\frac{V s}{R} e^{- \frac{t}{RC}}

\frac{V s}{e ^{\frac{t}{RC}} R}

Solution steps

\frac{V s}{R} e^{- \frac{t}{RC}}

Apply exponent rule:

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

= \frac{V s}{R} \cdot \frac{1}{e ^{\frac{t}{RC}}}

Multiply fractions:

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

= \frac{V s \cdot 1}{R e ^{\frac{t}{RC}}}

Multiply:

s \cdot 1 = s

= \frac{V s}{e ^{\frac{t}{RC}} R}

\frac{x - 1}{x - 7}

123.2 \cdot 1 0^{- 8}

10 (210)

1 e^{- 1 t}

0.0342 \cdot 1 0^{- 11}

What is (Vs)/R e^{-t/(RC)} ?
The solution to (Vs)/R e^{-t/(RC)} is (Vs)/(e^{t/(RC))R}