Respuesta :
Answer:
The simplfifed form of the given expression is -2.
Step-by-step explanation:
[tex]\dfrac{-12}{3} \times (-8 + (-4)^2 -6) + 2[/tex]
Use PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
First, solve the Parentheses
[tex]-4\times -4=16[/tex]
[tex]\dfrac{-12}{3} \times (-8 + (-4)^2 -6) + 2\\=\dfrac{-12}{3} \times (-8 + 16 -6) + 2[/tex]
Now, subtract the number.
[tex]-8-6=-14[/tex]
[tex]\dfrac{-12}{3} \times (-8 + 16 -6) + 2\\=\dfrac{-12}{3}\times (-14+16)+2[/tex]
Now, add the number
[tex]-14+16=2[/tex]
[tex]\dfrac{-12}{3}\times (-14+16)+2\\=\dfrac{-12}{3} \times (2) + 2[/tex]
[tex]-4 \times (2)+2[/tex]
[tex]-8+2=-6[/tex]
