Question

simplify the expression below using order of operations.
$2 + \dfrac{8^1}{(10 - 2^3)}$

Explanation:

Step1: Calculate exponents

First, we calculate the exponents in the expression. We have \(8^1 = 8\) and \(2^3=8\). So the expression becomes \(2+\frac{8}{(10 - 8)}\).

Step2: Calculate the denominator

Next, we calculate the value inside the parentheses in the denominator. \(10-8 = 2\). Now the expression is \(2+\frac{8}{2}\).

Step3: Calculate the fraction

Then, we calculate the fraction \(\frac{8}{2}=4\). The expression now is \(2 + 4\).

Step4: Add the remaining terms

Finally, we add \(2\) and \(4\). \(2+4=6\).

Answer:

\(6\)