Question

Simplify the expression using the order of operations.

(18−2)+(√16))/6−2^2

Answer 1

nope , try againzies

Answer 2

Let's simplify the expression step by step:

The expression is: \((18 - 2) + \left( \sqrt{16} \right) / 6 - 2^2\)

1. **Evaluate the parentheses and square root:**
\[
18 - 2 = 16
\]
\[
\sqrt{16} = 4
\]

Now, we rewrite the expression with these values substituted:
\[
(16) + \left( 4 \right) / 6 - 2^2
\]

2. **Evaluate the exponent:**
\[
2^2 = 4
\]

Now, we rewrite the expression again:
\[
(16) + \left( 4 \right) / 6 - 4
\]

3. **Perform the division:**
\[
4 / 6 = \frac{2}{3}
\]
(This can also be left as a decimal, approximately \(0.6667\), but we will keep it as a fraction.)

Now, the expression becomes:
\[
16 + \frac{2}{3} - 4
\]

4. **Combine like terms:**
First, we can simplify \(16 - 4\):
\[
16 - 4 = 12
\]

Now we have:
\[
12 + \frac{2}{3}
\]

5. **Combine \(12\) and \(\frac{2}{3}\):**
To add \(12\) and \(\frac{2}{3}\), we convert \(12\) to a fraction with the same denominator:
\[
12 = \frac{36}{3}
\]

Now, add the two fractions:
\[
\frac{36}{3} + \frac{2}{3} = \frac{36 + 2}{3} = \frac{38}{3}
\]

Thus, the simplified expression is \(\frac{38}{3}\), or as a mixed number, \(12\frac{2}{3}\).

Answer 3

Let's simplify the expression step by step again carefully. The original equation is:

\[
\frac{(18 - 2) + \sqrt{16}}{6} - 2^2
\]

### Step 1: Calculate Within the Parentheses

First, calculate \(18 - 2\):

\[
18 - 2 = 16
\]

Next, calculate \(\sqrt{16}\):

\[
\sqrt{16} = 4
\]

### Step 2: Substitute Back into the Expression

Now, substitute these values back into the expression:

\[
\frac{16 + 4}{6} - 2^2
\]

### Step 3: Calculate the Addition in the Numerator

Now calculate the addition in the numerator:

\[
16 + 4 = 20
\]

So now we have:

\[
\frac{20}{6} - 2^2
\]

### Step 4: Simplify the Fraction

Next, simplify \(\frac{20}{6}\):

\[
\frac{20}{6} = \frac{10}{3}
\]

### Step 5: Calculate the Exponent

Now calculate \(2^2\):

\[
2^2 = 4
\]

### Step 6: Substitute and Combine

Now substitute back into the expression:

\[
\frac{10}{3} - 4
\]

To subtract \(4\) from \(\frac{10}{3}\), convert \(4\) to a fraction with the same denominator:

\[
4 = \frac{12}{3}
\]

Now we can perform the subtraction:

\[
\frac{10}{3} - \frac{12}{3} = \frac{10 - 12}{3} = \frac{-2}{3}
\]

### Final Answer

Thus, the simplified expression is:

\[
\frac{-2}{3}
\]

Thank you for your patience, and I'm glad to help with any further questions!