Simplify 12x^(-1/2)+7x^(1/2)+x^(3/2)

$12 x^{- \frac{1}{2}} + 7 x^{\frac{1}{2}} + x^{\frac{3}{2}}$

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

$12 \frac{1}{x^{\frac{1}{2}}} + 7 x^{\frac{1}{2}} + x^{\frac{3}{2}}$