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Hey there!

4^2 - (2 * 2^4)

4^2

= 4 * 4

= 16

2^4

= 2 * 2 * 2 * 2

= 4 * 4

= 16

= 16 - (2 * 16)

= 16 - 32

= -16

Therefore, your answer is: Option A. -16

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

[tex]\textbf{-16}[/tex]

Step-by-step explanation:

[tex]4^2-\left(2\times \:2^4\right)[/tex]

We will use the PEMDAS order of operations:

  • Parentheses: ( )
  • Exponents: a²
  • Multiplication: ×
  • Division: ÷
  • Addition: +
  • Subtraction: -

1) Calculate within Parentheses:

  • ➳ [tex](2\times 2^{4} )[/tex]
  • ➳ [tex]2^{4} =16[/tex]
  • ➳ [tex]2\times 16[/tex]
  • ➳ [tex]=32[/tex]

[tex]4^2-32[/tex]

2) Calculate exponents:

  • ➳ [tex]4^{2} =16[/tex]
  • ➳ [tex]6-32[/tex]

3) Subtraction:

  • ➳ [tex]16-32[/tex]
  • ➳ [tex]-16[/tex]

OAmalOHopeO

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