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Popular >

simplify (z^1+z^{-1})^4

Solution

simplify

(z^{1} + z^{- 1})^{4}

Solution

\frac{( z ^{2} + 1 ) ^{4}}{z ^{4}}

Solution steps

(z^{1} + z^{- 1})^{4}

Simplify

z^{1} + z^{- 1} : \frac{z ^{2} + 1}{z}

= (\frac{z ^{2} + 1}{z})^{4}

Apply exponent rule:

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

= \frac{( z ^{2} + 1 ) ^{4}}{z ^{4}}

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Frequently Asked Questions (FAQ)

What is (z^1+z^{-1})^4 ?
The solution to (z^1+z^{-1})^4 is ((z^2+1)^4)/(z^4)