Question

How do you simplify this expression?

–12 ÷ 3 • (–8 + (–4)2^ the two is small – 6) + 2

Answer 1

44

Explanation:

so you start off w/ your equation. The first thing you need to do remember is GEMS. G(grouping) E(exponents) M(mulitiplication / division) S(subtraction / addition). We can do -4 to the second power for exponents, which is 16. Then you can divide -12 by 3 since the M in GEMS says you do that after. That would be -4. Now you multiply -4•-8 (Gems M) and that would be 32. Add 32+16 (S in GEMS) which is 48. Then do 48-6 which is 42. After that add 2. your answer is 44. I highlighted each step

Answer 2

–12 ÷ 3 • [–8 + (–4)² ∧ 6] + 2

According to PEMDAS, (Parenthesis, Exponents, Multiplication and Division, Addition and Subtraction) we need to solve the exponent in the parenthesis first.

-12 ÷ 3 • [-8 + 16 - 6] + 2

-12 ÷ 3 • [-8 + 10 ] +2

-12 ÷ 3 • 2 + 2

-4 • 6 + 2

-24 + 2 = - 22

Hope this helps!