Answer:
[tex]10x^{2} y^{-1}[/tex] for x=3 and y=2 is 45.
Step-by-step explanation:
In order to evalue the given expression [tex]10x^{2}y^{-1}[/tex] you have to rewrite it as a fraction, using the property for a negative exponent which says that [tex]y^{-1}[/tex] can be written as [tex]\frac{1}{y}[/tex]
You obtain: [tex]\frac{10x^{2} }{y}[/tex]
Now, you have to replace the given values of x and y in the previous expression:
x=3 and y=2
[tex]\frac{10(3)^{2} }{2}[/tex]
Solving the square:
[tex]\frac{(10)(9)}{2}[/tex]
Solving the multiplication and division:
[tex]\frac{90}{2} = 45[/tex]
The answer is 45
