What is the answer to (x^{k+1})/x =x^k ?

The answer to (x^{k+1})/x =x^k is x\ne 0

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(x^{k+1})/x =x^k

\frac{x ^{k + 1}}{x} = x^{k}

x \neq = 0

Solution steps

\frac{x ^{k + 1}}{x} = x^{k}

Simplify

\frac{x ^{k + 1}}{x} : x^{k}

x^{k} = x^{k}

Both sides are equal

True for all x

Verify Solutions

Find undefined (singularity) points:

x = 0

Since the equation is undefined for:

0

x \neq = 0

\frac{2 x - 5}{x} = \frac{11}{3}

- 1 - \frac{7}{x} = - 6 x

\frac{x + 1}{x - 1} - 1 = \frac{1}{x}

\frac{28}{x} = \frac{24}{x - 12}

\frac{8}{y} = \frac{2}{y - 2} + 1

What is the answer to (x^{k+1})/x =x^k ?
The answer to (x^{k+1})/x =x^k is x\ne 0