Question

simplify the expression below using order of operations. $9^2 + 10 \times (2 \div 1^3)$

Explanation:

Step1: Simplify the exponent

First, we simplify the exponent in the expression. The exponent here is \(1^3\). By the definition of exponentiation, \(1^3 = 1\times1\times1=1\). So the expression inside the parentheses becomes \(2\div1\).

Step2: Simplify the parentheses

Now, we simplify the expression inside the parentheses. \(2\div1 = 2\). So the expression now is \(9^2+10\times2\).

Step3: Simplify the exponent (again)

Next, we simplify the exponent \(9^2\). By the definition of exponentiation, \(9^2=9\times9 = 81\). So the expression becomes \(81 + 10\times2\).

Step4: Perform the multiplication

Then, we perform the multiplication operation. \(10\times2=20\). So the expression is now \(81+20\).

Step5: Perform the addition

Finally, we perform the addition operation. \(81 + 20=101\).

Answer:

\(101\)