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Popular >

simplify e^{(r-b)T}e^{-r*T}

Solution

simplify

e^{(r - b) \cdot T} \cdot e^{- r \cdot T}

Solution

e^{- b T}

Solution steps

e^{(r - b) T} e^{- r T}

Apply exponent rule:

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

e^{(r - b) T} e^{- r T} = e^{T (r - b) - r T}

= e^{(r - b) T - r T}

Expand

(r - b) T - r T : - b T

= e^{- b T}

Popular Examples

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derivative of (1+x^y)

\frac{d}{d x} ((1 + x)^{y})

simplify 0.8*5.67*10^{-8}(873^4-872^4)simplify

0.8 \cdot 5.67 \cdot 1 0^{- 8} (87 3^{4} - 87 2^{4})

Frequently Asked Questions (FAQ)

What is e^{(r-b)*T}*e^{-r*T} ?
The solution to e^{(r-b)*T}*e^{-r*T} is e^{-bT}