Answer:
Step-by-step explanation:
The given values are [tex]x=-2[/tex] and [tex]y=5[/tex].
The given expression is
[tex](3x^{3} y^{-2} )^{2}[/tex]
First, we need to multiply exponents
[tex](3x^{3} y^{-2} )^{2}=3x^{6}y^{-4}[/tex]
Second, we move the negative exponent to the denominator side
[tex]3x^{6}y^{-4}=\frac{3x^{6} }{y^{4} }[/tex]
If we replace each value, we have
[tex]\frac{3x^{6} }{y^{4} }=\frac{3(-2)^{6} }{(5)^{4} }[/tex]
The statement that describes this expression is C.