Answer: (y^{2}x^{3}⋅5)/4
Step-by-step explanation:
Convert to Radical Form
[tex](5x^3y^2)\frac{2}{8}[/tex]
Reduce the expression [tex]\frac{2}{8}[/tex] by cancelling the common factors.
Factor 2 out of 2.
[tex]5x^3y^2\frac{2(1)}{8}[/tex]
Factor 2 out of 8.
[tex]5x^3y^2 \frac{2(1)}{2(4)}[/tex]
Cancel the common factor.
[tex]5x^3y^2 \frac{1}{4}[/tex]
Combine 5 and [tex]\frac{1}{4}[/tex].
[tex]x^3y^2\frac{5}{4}[/tex]
Combine [tex]x^{3}[/tex] and [tex]\frac{5}{4}[/tex] .
[tex]y^2\frac{x^3(5)}{4}[/tex]
Combine [tex]y^{2}[/tex] and [tex]\frac{x^3*5}{4}[/tex]
[tex]\frac{y^2x^3*5}{4}[/tex]