Solve z z^-1=1 - ScanMath

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Type your math problem... z z^-1=1

x

Question

Solve the equation

z \neq = 0

Evaluate

z \times z^{- 1} = 1

Find the domain

z \times z^{- 1} = 1, z \neq = 0

Multiply the terms

More Steps

Evaluate

z \times z^{- 1}

Use the product rule a^{n} \times a^{m} = a^{n + m} to simplify the expression

z^{1 - 1}

Subtract the numbers

z^{0}

Any non-zero expression raised to the power of 0 equals 1

1

1 = 1

The statement is true for any value of z

z \in R

Check if the solution is in the defined range

z \in R, z \neq = 0

Solution

z \neq = 0

Show Solution

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