Question

Evaluate 10x^2y^-1 for x=3 and y=2

Answer 1

So x will equal to 45

10*9*2^-1
10*9*1/2

9/2

45

Answer 2

`10x^(2) y^(-1)` for x=3 and y=2 is 45.

Explanation:

In order to evalue the given expression
`10x^(2)y^(-1)` you have to rewrite it as a fraction, using the property for a negative exponent which says that
`y^(-1)` can be written as
`(1)/(y)`

You obtain:
`(10x^(2) )/(y)`

Now, you have to replace the given values of x and y in the previous expression:

x=3 and y=2

`(10(3)^(2) )/(2)`

Solving the square:

`((10)(9))/(2)`

Solving the multiplication and division:

`(90)/(2) = 45`

The answer is 45