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Popular >

simplify (1-e^{-T})Z^{-1}

Solution

simplify

(1 - e^{- T}) Z^{- 1}

Solution

\frac{- e ^{- T} + 1}{Z}

Solution steps

(1 - e^{- T}) Z^{- 1}

Apply exponent rule:

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

= \frac{1}{Z} (- e^{- T} + 1)

Multiply fractions:

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

= \frac{1 \cdot ( 1 - e ^{- T} )}{Z}

1 \cdot (1 - e^{- T}) = 1 - e^{- T}

= \frac{1 - e ^{- T}}{Z}

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Frequently Asked Questions (FAQ)

What is (1-e^{-T})Z^{-1} ?
The solution to (1-e^{-T})Z^{-1} is (-e^{-T}+1)/Z