Question

question
simplify the expression below using order of operations.
(10 + (-6)) + (2² + 2²) × 2 × (-2)
answer
attempt 1 out of 2

Explanation:

Step1: Simplify innermost parentheses

First, handle the operations inside the innermost parentheses and exponents. Calculate \(10 + (-6)\) and \(2^2\).
\(10 + (-6)=10 - 6 = 4\)
\(2^2 = 4\), so \(2^2 + 2^2=4 + 4 = 8\)

Step2: Simplify the brackets

Now, simplify the expression inside the brackets: \([4 + 8]=12\)

Step3: Simplify the remaining multiplication

Next, calculate the multiplication part: \(12\times2\times(-2)\). First, \(12\times2 = 24\), then \(24\times(-2)=-48\)

Answer:

\(-48\)