Questions: What is the value of the expression below? (-8+3)^2+10 cdot(-4)

Transcript text: What is the value of the expression below? \[ (-8+3)^{2}+10 \cdot(-4) \]

Solution

Solution Steps

To solve the given expression, we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). First, evaluate the expression inside the parentheses, then apply the exponent, and finally perform the multiplication and addition.

Step 1: Evaluate the Expression Inside the Parentheses

First, we calculate the expression inside the parentheses: \[ -8 + 3 = -5 \]

Step 2: Apply the Exponent

Next, we take the result from Step 1 and apply the exponent: \[ (-5)^2 = 25 \]

Step 3: Perform the Multiplication

Now, we calculate the multiplication part of the expression: \[ 10 \cdot (-4) = -40 \]

Step 4: Combine the Results

Finally, we combine the results from Step 2 and Step 3: \[ 25 + (-40) = 25 - 40 = -15 \]