Question

In the following exercises, simplify each expression.

$10+3\left[6-2\left(4-2\right)\right]-2^4$

Short answer

The simplified value of the expression is 0.

Step-by-step solution

Step 1. Given Information.

The given expression is $10+3\left[6-2\left(4-2\right)\right]-2^4$.

Step 2. Apply the order of the operation.  

• Simplify the expression inside the parentheses and then remove the bracket by applying the operation inside the bracket.
• Simplify the exponent and then apply the operation left to right.

$\begin{array}{rcl}10+3\left[6-2\left(4-2\right)\right]-2^4& =& 10+3\left[6-2\left(2\right)\right]-2^4\\ & =& 10+3\left[6-4\right]-2^4\\ & =& 10+3\left[2\right]-2^4\\ & =& 10+6-16\\ & =& 16-16\\ & =& 0\end{array}$

Step 3. Conclusion.

The obtained value is 0.