Simplify 3x^(3/2)-9x^(1/2)+6x^(-1/2)

$3 x^{\frac{3}{2}} - 9 x^{\frac{1}{2}} + 6 x^{- \frac{1}{2}}$

Step 1

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

$3 x^{\frac{3}{2}} - 9 x^{\frac{1}{2}} + 6 \frac{1}{x^{\frac{1}{2}}}$

Step 2

Combine $6$ and $\frac{1}{x^{\frac{1}{2}}}$ .

$3 x^{\frac{3}{2}} - 9 x^{\frac{1}{2}} + \frac{6}{x^{\frac{1}{2}}}$