Question

Evaluate each expression if $a=4,b=3$and $c=9$.

$5b^2÷c$

Short answer

The value of the given expression is $5$.

Step-by-step solution

Step 1. Method of applying order of operations.

1. Evaluate expressions inside grouping symbols.
2. Evaluate all powers.
3. Multiply and/or divide in order from left to right.
4. Add or subtract in order from left to right.

Step 2. Putting the values of given variables in the expression.

$5b^2÷c=5·3^2÷9\left[\mathrm{since}b=3,c=9\right]$

Step 3. Simplifying the expression.

$$\begin{gathered} 5·3^2÷9=5·9÷9\left[\mathrm{Evaluating}\mathrm{Power}\right] \\ =45÷9\left[\mathrm{Performing}\mathrm{multiplication}\right] \\ =5\left[\mathrm{Performing}\mathrm{division}\right] \end{gathered}$$