We are given expression: [tex]\frac{3x^3}{12x^{-2}}[/tex].
Tyna simplified the given expression to [tex]\frac{x}{4}[/tex].
Explanation: In order to simplify [tex]\frac{3x^3}{12x^{-2}}[/tex], Tyna need to simplify rational expression [tex]\frac{3}{12}[/tex].
On dividing top and bottom by 3, we get [tex]\frac{1}{4}[/tex].
Which Tyna got correct.
Now she need to simplify [tex]\frac{x^3}{x^{-2}}[/tex].
On applying quotient rule of exponents, we need to subtract the exponents of x's.
So, it would be [tex]\frac{x^3}{y^-{2}} = x^3-{-2} = x^{3+2} = x^5[/tex].
