Answer:
[tex][-\frac{1023}{4} ][/tex]
Step-by-step explanation:
[tex]\frac{x^6-x}{4y}[/tex]
x = -4
y = 4
Replace all the variables with the corresponding values given:
[tex]\frac{-4^6-(-4)}{4(4)}[/tex]
Now solve,
-4 to the power of 6 is equal to -4096
[tex]\frac{-4096-(-4)}{4(4)}[/tex]
we see that we are subtracting a negative number, meaning that it'll cancel out and turn into an addition sign. Therefore:
[tex]-4096 + 4[/tex]
[tex]-4092[/tex]
[tex]\frac{-4092}{4(4)}[/tex]
4(4) is equal to 16
[tex]\frac{-4092}{16}[/tex]
When divided, you'll get a mixed fraction of [tex]-255\frac{3}{4}[/tex]
To turn into an improper fraction, simply multiply the whole number by the denominator, then add the numerator to the result.
[tex]-255 * 4 + 3[/tex]
[tex][-\frac{1023}{4} ][/tex]
