Write Using Positive Exponents 5x^(-1/3)y^(-3/4)x^(-1/2)

$5 x^{- \frac{1}{3}} y^{- \frac{3}{4}} x^{- \frac{1}{2}}$

Move $x^{- \frac{1}{3}}$ to the denominator in $x^{- \frac{1}{3}}$ using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{x^{\frac{1}{3}}}$

Move $y^{- \frac{3}{4}}$ to the denominator in $y^{- \frac{3}{4}}$ using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{y^{\frac{3}{4}}}$

Move $x^{- \frac{1}{2}}$ to the denominator in $x^{- \frac{1}{2}}$ using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{x^{\frac{1}{2}}}$

Rewrite $5 x^{- \frac{1}{3}} y^{- \frac{3}{4}} x^{- \frac{1}{2}}$ with positive exponents.

$5 \frac{1}{x^{\frac{1}{3}}} \frac{1}{y^{\frac{3}{4}}} \frac{1}{x^{\frac{1}{2}}}$