Factor x^(-9/2)+2x^(-7/2)+x^(-5/2)

$x^{- \frac{9}{2}} + 2 x^{- \frac{7}{2}} + x^{- \frac{5}{2}}$

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{x^{\frac{9}{2}}} + 2 x^{- \frac{7}{2}} + x^{- \frac{5}{2}}$

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{x^{\frac{9}{2}}} + 2 \frac{1}{x^{\frac{7}{2}}} + x^{- \frac{5}{2}}$

Combine $2$ and $\frac{1}{x^{\frac{7}{2}}}$ .

$\frac{1}{x^{\frac{9}{2}}} + \frac{2}{x^{\frac{7}{2}}} + x^{- \frac{5}{2}}$

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{x^{\frac{9}{2}}} + \frac{2}{x^{\frac{7}{2}}} + \frac{1}{x^{\frac{5}{2}}}$