Question

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

Explanation:

Step1: Calculate exponentiation

First, calculate the exponents in the denominator. We know that \(10^1 = 10\) and \(3^2=9\). So the denominator becomes \(10 - 9\).

$$10^1 - 3^2=10 - 9 = 1$$

Step2: Calculate the fraction

Now, calculate the fraction \(\frac{3}{10^1 - 3^2}\). Since the denominator is \(1\), the fraction is \(\frac{3}{1}=3\).

Step3: Calculate the final result

Subtract the fraction from \(3\): \(3 - 3=0\).

Answer:

\(0\)