Question

evaluate the expression.
6 + 10 + (6² ÷ 9)

Explanation:

Step1: Calculate the exponent

First, we calculate the exponent in the expression. The exponent here is \(6^2\), which means \(6\times6 = 36\). So now the expression becomes \(6 + [10 + (36\div9)]\).

Step2: Perform the division

Next, we perform the division inside the innermost parentheses. We have \(36\div9 = 4\). Now the expression is \(6 + [10 + 4]\).

Step3: Add inside the brackets

Then, we add the numbers inside the brackets. \(10 + 4 = 14\). So the expression simplifies to \(6 + 14\).

Step4: Perform the final addition

Finally, we add the remaining two numbers. \(6 + 14 = 20\).

Answer:

20