What is 2^{sqrt(t)}e^{-rt} ?

The solution to 2^{sqrt(t)}e^{-rt} is (2^{sqrt(t)})/(e^{rt)}

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simplify 2^{sqrt(t)}e^{-rt}

simplify

2^{t} e^{- r t}

\frac{2 ^{t}}{e ^{r t}}

Solution steps

2^{t} e^{- r t}

Apply exponent rule:

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

= 2^{t} \cdot \frac{1}{e ^{r t}}

Multiply fractions:

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

= \frac{1 \cdot 2 ^{t}}{e ^{r t}}

Multiply:

1 \cdot 2^{t} = 2^{t}

= \frac{2 ^{t}}{e ^{r t}}

0.5 x^{2} (\frac{1}{9} x^{3} - 1)^{- \frac{1}{2}}

4.2 \cdot 1 0^{- 5} (1 + 3 \cdot 1 0^{- 4} (170 - 20))

e^{- e^{- 2857}}

What is 2^{sqrt(t)}e^{-rt} ?
The solution to 2^{sqrt(t)}e^{-rt} is (2^{sqrt(t)})/(e^{rt)}