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Popular >

simplify e^{-rx}e^{rx} a/r

Solution

simplify

e^{- r x} e^{r x} \frac{a}{r}

Solution

\frac{a}{r}

Solution steps

e^{- r x} e^{r x} \frac{a}{r}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{- r x} e^{r x} = e^{- r x + r x}

= e^{- r x + r x} \frac{a}{r}

Add similar elements:

- r x + r x = 0

= e^{0} \frac{a}{r}

Apply rule

a^{0} = 1, a \neq = 0

e^{0} = 1

= 1 \cdot \frac{a}{r}

Multiply:

1 \cdot \frac{a}{r} = \frac{a}{r}

= \frac{a}{r}

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Frequently Asked Questions (FAQ)

What is e^{-rx}e^{rx} a/r ?
The solution to e^{-rx}e^{rx} a/r is a/r