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e-lub [12.9K]
2 years ago
6

Max points easy math problem

Mathematics
2 answers:
11Alexandr11 [23.1K]2 years ago
4 0

Solution:

Given:

  • x = -4
  • y = 4

<u>Substitute the values into the equation:</u>

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

<u>Simplify the numerator and the denominator:</u>

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

<u>Simplify the fraction:</u>

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

Correct option is B.

Nataly [62]2 years ago
4 0

Answer:

[-\frac{1023}{4} ]

Step-by-step explanation:

\frac{x^6-x}{4y}

x = -4

y = 4

Replace all the variables with the corresponding values given:

\frac{-4^6-(-4)}{4(4)}

Now solve,

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

\frac{-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

\frac{-4092}{4(4)}

4(4) is equal to 16

\frac{-4092}{16}

When divided, you'll get a mixed fraction of -255\frac{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

[-\frac{1023}{4} ]

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