Question

max points easy math problem

Answer 1

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.

Answer 2

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.

$-255 * 4 + 3$

$[-\frac{1023}{4} ]$