Question

18.) simplify the given numerical expression in the space provided. then choose words from the word bank that explain what you did at each step. \\( 7 - 3(5^2 + 1) \div 6 \\) \\( \text{steps followed} \\) \\( \text{word bank} \\) a.) \\( \text{subtract} \\) b.) \\( \text{divide} \\) c.) \\( \text{add} \\) d.) \\( \text{simplify the power} \\) e.) \\( \text{multiply} \\) 19.) evaluate the given expression using the order of operations. \\( 4^3 \div 2 - 3(4) \\)

Explanation:

Step1: Simplify the power

First, we simplify the exponent in the expression. The term \(5^2\) is calculated as \(5\times5 = 25\).
So, the expression becomes \(7 - 3(25 + 1)\div6\).

Step2: Add inside the parentheses

Next, we add the numbers inside the parentheses. \(25+1 = 26\).
Now the expression is \(7 - 3\times26\div6\).

Step3: Multiply

Then, we perform the multiplication. \(3\times26 = 78\).
The expression now is \(7 - 78\div6\).

Step4: Divide

After that, we do the division. \(78\div6 = 13\).
The expression simplifies to \(7 - 13\).

Step5: Subtract

Finally, we subtract. \(7 - 13=-6\).

Answer:

\(-6\)