Question

show work to receive full credit. Simplify and evaluate each of the following using order (2³+4)/(-18-6+(-4)-[-5(-1)(-5)])

Answer 1

The simplified and evaluated expression ((2³+4) / (-18-6+(-4)-[-5(-1)(-5)])) is -4, following the order of operations to address each individual component of the expression.

Step-by-step explanation:

To simplify and evaluate the expression ((2³+4) / (-18-6+(-4)-[-5(-1)(-5)])), we should follow the proper order of operations, commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

First, compute the operation inside the parentheses:

• 
  
• 2³ = 2 x 2 x 2 = 8
• 
  
• 8 + 4 = 12 (numerator)
• 
  
• -18 - 6 + (-4) = -28
• 
  
• -[-5(-1)(-5)] = -[-5 x 1 x -5] = -25 (since two negative numbers multiply to a positive number)
• 
  
• -28 - (-25) = -28 + 25 = -3 (denominator)

Now that we have simplified the numerator and the denominator, we continue with the division:

• (12 / -3) = -4

Thus, the simplified and evaluated expression is -4.