Question

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

Answer 1

Answer:

C.

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

Answer 2

$\huge\textsf{Hey there!}$

$\mathsf{\dfrac{x^6-x}{4y}}$

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

$\mathsf{-4^6}\\\mathsf{= -1\times 4\times4\times4\times 4\times4\times4}\\\mathsf{\mathsf{= \bf -4,096}}$

$\mathsf{4\times4}\\\mathsf{= \bf 16}$

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

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

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

$\mathsf{=\dfrac{-1,023}{4}}$

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

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

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