Question

In the following exercises, simplify each expression.

${\left(-4\right)}^2-32÷\left(12-4\right)$

Short answer

12

Step-by-step solution

Step 1. Given Information

The given expression is${\left(-4\right)}^2-32÷\left(12-4\right)$.

Step 2. Simplify the exponent value first. 

Write the number ${\left(-4\right)}^2$in the expanded form.

${\left(-4\right)}^2-32÷\left(12-4\right)=\left(-4\right)\left(-4\right)-32÷\left(12-4\right)$

Multiply $-4$and $-4$.

$\left(-4\right)\left(-4\right)-32÷\left(12-4\right)=16-32÷\left(12-4\right)$

Step 3. Apply the order of operation. 

• Remove the parenthesis first.

$16-32÷\left(12-4\right)=16-32÷\left(8\right)$

• Simplify the division.

$16-32÷\left(8\right)=16-4$

• Perform the indicated operation.

$16-4=12$

Step 4. Conclusion 

The resultant value is 12.