Solve (x 1)^(- 1/2 )-(x 1)^(- 3/2 )

Evaluate

(x \times 1)^{- \frac{1}{2}} - (x \times 1)^{- \frac{3}{2}}

Any expression multiplied by 1 remains the same

x^{- \frac{1}{2}} - (x \times 1)^{- \frac{3}{2}}

Any expression multiplied by 1 remains the same

x^{- \frac{1}{2}} - x^{- \frac{3}{2}}

Express with a positive exponent using a^{- n} = \frac{1}{a ^{n}}

\frac{1}{x ^{\frac{1}{2}}} - x^{- \frac{3}{2}}

Express with a positive exponent using a^{- n} = \frac{1}{a ^{n}}

\frac{1}{x ^{\frac{1}{2}}} - \frac{1}{x ^{\frac{3}{2}}}

Use a^{\frac{m}{n}} = n a^{m} to transform the expression

\frac{1}{x} - \frac{1}{x ^{\frac{3}{2}}}

Simplify the expression

More Steps

\frac{1}{x} - \frac{1}{x x}

Rationalize the denominator

More Steps

\frac{x}{x} - \frac{1}{x x}

Rationalize the denominator

More Steps

\frac{x}{x} - \frac{x}{x ^{2}}

Reduce fractions to a common denominator

\frac{x \times x}{x \times x} - \frac{x}{x ^{2}}

Multiply the terms

\frac{x \times x}{x ^{2}} - \frac{x}{x ^{2}}

Solution

\frac{x \times x - x}{x ^{2}}

Simplify the expression