Question

simplify the expression below using order of operations.
$3 + \frac{(4^3 - 7)}{3}$

Explanation:

Step1: Calculate the exponent

First, we calculate the value of \(4^3\). By the definition of exponentiation, \(4^3 = 4\times4\times4=64\).

Step2: Simplify the numerator

Next, we simplify the numerator inside the fraction, which is \(4^3 - 7\). Substituting the value of \(4^3\) we found, we get \(64 - 7 = 57\).

Step3: Simplify the fraction

Now, we simplify the fraction \(\frac{4^3 - 7}{3}=\frac{57}{3}\). Dividing 57 by 3 gives us 19.

Step4: Add the remaining number

Finally, we add 3 to the result of the fraction. So, \(3+19 = 22\).

Answer:

22