x^{-5}=1

Solution

x^{- 5} = 1

x = 1

Solution steps

x^{- 5} = 1

Refine

\frac{1}{x ^{5}} = 1

Multiply both sides by

x^{5}

1 = x^{5}

Solve

1 = x^{5} : x = 1

x = 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1

\frac{1}{x - 2} - 3 = \frac{13}{x - 2}

\frac{5}{x} - \frac{5}{1 - x} = 0

13 = 3 x^{2} + \frac{4}{x ^{2}}

\frac{25}{49} = \frac{196}{x}

\frac{1.5}{7.5} = \frac{3}{x}