Question

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

Explanation:

Step1: Simplify exponents

First, simplify the exponents in the expression. We have \(8^1 = 8\) and \(2^3 = 8\).

Step2: Simplify the denominator

Next, simplify the denominator of the fraction. The denominator is \(10 - 2^3\), and since \(2^3 = 8\), we have \(10 - 8 = 2\).

Step3: Simplify the fraction

Now, simplify the fraction \(\frac{8^1}{10 - 2^3}\). We know \(8^1 = 8\) and the denominator is \(2\), so \(\frac{8}{2} = 4\).

Step4: Add the remaining term

Finally, add the remaining term \(2\) to the result of the fraction. So \(2 + 4 = 6\).

Answer:

\(6\)