Question

Evaluate the expression
`(x^(6)-x)/(4y)` when x = -4 and y = 4. Which of the following options is the correct result?

A.
`(1,025)/(4)`
B.
`(-1,023)/(4)`
C.
`(16,385)/(4)`
D.
`(1,023)/(4)`

Answer 1

To evaluate the expression
`rac{x^(6)-x}{4y}` when x = -4 and y = 4, substitute the values of x and y into the expression and simplify. The correct result is
`rac{65}{8}`, which is not included in the given options.

Step-by-step explanation:

To evaluate the expression
`rac{x^(6)-x}{4y}</p><p>When x = -4 and y = 4</p><ol><li>Substitute the given values for x and y into the expression:</li></ol><ul><li>[tex]rac{(-4)^(6)-(-4)}{4(4)}`

Simplify the numerator:
`rac{1296+4}{16}`Divide the numerator by the denominator:
`rac{1300}{16}`Simplify the fraction:
`rac{65}{8}`Confirm the result with the given options: The correct result is
`rac{65}{8}` which is not listed in the given options. Therefore, none of the options provided is the correct result.