Chapter 6, Problem 1CRE

To determine

The simplified form of the expression $6^2-2[5-8(3-1)+4÷2]$ .

Answer to Problem 1CRE

Solution:

The simplified expression is $54$ .

Explanation of Solution

Given:

The given expression is $6^2-2[5-8(3-1)+4÷2]$ .

Concept Used:

PEMDAS:This rule tells us the sequence in which mathematical operations should be performed. So, the sequence is parenthesis, exponents, multiplication, division, addition, subtraction.

Calculations:

  $6^2-2[5-8(3-1)+4÷2](\text{This is the given expression})$

Now we will solve this as per the above mentioned PEMDAS rule.

  $\begin{array}{l}{6}^2-2[5-16+4÷2]\text{(Solve the paranthesis }8(3-1)=8\cdot 2=16\text{)}\\ 6^2-2[5-16+2]\text{(Simplify }4÷2=2\text{ )}\\ 6^2-2[-9]\text{(Add/subtract numbers inside the paranethesis)}\\ 6^2+18\text{(Multiply: }-2[-9]=18\text{)}\\ 36+18\text{(Solve the exponent: }{6}^2=36\text{)}\\ 54\end{array}$

Conclusion:

The simplified expression is $54$ .