Evaluate the following expression when x = -4 and y = 4.

Question 1

Question 2

Answer:

C.

${ \tt{ = \frac{ {x}^(6) - x }{4y} }} \\ = { \tt{ \frac{ {( - 4)}^(6) - ( - 4) }{4(4)} }} \\ = 256.25$

Question 3

$\huge\textsf{Hey there!}$

$\mathsf{(x^6-x)/(4y)}$

$\mathsf{= (-4^6-(-4))/(4(4))}$

$\mathsf{-4^6}\\\mathsf{= -1* 4*4*4* 4*4*4}\\\mathsf{\mathsf{= \bf -4,096}}$

$\mathsf{4*4}\\\mathsf{= \bf 16}$

$\mathsf{= (-4,096- (-4))/(16)}$

$\mathsf{-4,096-(-4)}\\\mathsf{= -4,096+4}\\\mathsf{= \bf -4,092}$

$\mathsf{= (-4,092)/(16)}\\\\\\\large\textsf{REDUCE IT \& YOU HAVE YOUR ANSWER!}$

$\mathsf{=(-1,023)/(4)}$

$\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf -(1,023)/(4)}\huge\textsf{ (Option \bf D.)}}}\huge\checkmark$

$\large\textsf{Good luck on your assignment and enjoy your day!}$

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