Question

In the following exercises, Simplify each expression.

${\left(-2\right)}^4-24÷\left(13-5\right)$

Short answer

The simplified value of the given expression is$13.$

Step-by-step solution

Step 1. Given information

The expression is${\left(-2\right)}^4-24÷\left(13-5\right)$.

Step 2. Concept used

The order of operations is based on the PEMDAS rule.

Always work from left to right.

• Parenthesis
• exponent
• multiplication
• division
• addition
• subtraction

Step 3. Simplify

$$\begin{gathered} {\left(-2\right)}^4-24÷\left(13-5\right)={\left(-2\right)}^4-24÷\left(8\right)\text{parenthesis} \\ =16-24÷8\text{exponent} \\ =16-3\text{division} \\ =13\text{Subtraction} \end{gathered}$$

Hence,${\left(-2\right)}^4-24÷\left(13-5\right)=13.$