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4 votes
Max points easy math problem

Max points easy math problem-example-1
User Luxdvie
by
3.5k points

2 Answers

6 votes

Answer:


[-(1023)/(4) ]

Explanation:


(x^6-x)/(4y)

x = -4

y = 4

Replace all the variables with the corresponding values given:


(-4^6-(-4))/(4(4))

Now solve,

-4 to the power of 6 is equal to -4096


(-4096-(-4))/(4(4))

we see that we are subtracting a negative number, meaning that it'll cancel out and turn into an addition sign. Therefore:


-4096 + 4


-4092


(-4092)/(4(4))

4(4) is equal to 16


(-4092)/(16)

When divided, you'll get a mixed fraction of
-255(3)/(4)

To turn into an improper fraction, simply multiply the whole number by the denominator, then add the numerator to the result.


-255 * 4 + 3


[-(1023)/(4) ]

User Kostas Livieratos
by
3.7k points
8 votes

Solution:

Given:

  • x = -4
  • y = 4

Substitute the values into the equation:

  • x⁶ - x/4y
  • => [(-4)⁶] - (-4)/4(4)

Simplify the numerator and the denominator:

  • => [(-4) x (-4) x (-4) x (-4) x (-4) x (-4)] + 4/16
  • => [(-64) x (-64)] + 4/16
  • => [4096] + 4/16
  • => 4100/16

Simplify the fraction:

  • => 4100/16
  • => 1025 x 4/4 x 4
  • => 1025/4

Correct option is B.

User Vincent Hogendoorn
by
3.4k points