Question

Evaluate the expression.

$84÷\left[\left(18-16\right)·3\right]$.

Short answer

The value of expression is14.

Step-by-step solution

Step-1 – Order of operations

To evaluate any expression involving more than one operation, follow the below order of operations:

• First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
• Evaluate the exponents.
• Perform Multiplication and division from left to right.
• Perform addition and subtraction from left to right.

Step-2 – Simplify expression in grouping symbol

The expression is provided as $84÷\left[\left(18-16\right)·3\right]$.

To evaluate the expression, first simplify the expression inside parenthesis and then simplify further as shown below

$\begin{array}{c}84÷[(18-16)\cdot 3]=84÷[\left(2\right)\cdot 3]\\ =84÷\left[6\right]\\ =84÷6\end{array}$

Step-3 – Divide the numbers

To simplify further, divide the resulting numbers to get

$\begin{array}{c}84÷[(18-16)\cdot 3]=84÷6\\ =14\end{array}$

So, the value of the expression is14.