What is (1-0.8Z^{-1})*(1-0.8Z^{-1}) ?

The solution to (1-0.8Z^{-1})*(1-0.8Z^{-1}) is ((5Z-4)^2)/(25Z^2)

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simplify (1-0.8Z^{-1})*(1-0.8Z^{-1})

simplify

(1 - 0.8 Z^{- 1}) \cdot (1 - 0.8 Z^{- 1})

\frac{( 5 Z - 4 ) ^{2}}{25 Z ^{2}}

Solution steps

(1 - 0.8 Z^{- 1}) (1 - 0.8 Z^{- 1})

Apply exponent rule:

aa = a^{2}

(1 - 0.8 Z^{- 1}) (1 - 0.8 Z^{- 1}) = (1 - 0.8 Z^{- 1})^{2}

= (1 - 0.8 Z^{- 1})^{2}

Simplify

1 - 0.8 Z^{- 1} : \frac{5 Z - 4}{5 Z}

= (\frac{5 Z - 4}{5 Z})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 5 Z - 4 ) ^{2}}{( 5 Z ) ^{2}}

Simplify

(5 Z)^{2} : 25 Z^{2}

= \frac{( 5 Z - 4 ) ^{2}}{25 Z ^{2}}

(p - q)^{2} \cdot (p + q)^{2}

e^{- 0.221}

e^{\frac{1}{2}} \cdot e^{- \frac{1}{2}}

What is (1-0.8Z^{-1})*(1-0.8Z^{-1}) ?
The solution to (1-0.8Z^{-1})*(1-0.8Z^{-1}) is ((5Z-4)^2)/(25Z^2)