Question

1. evaluate: $75 - 3(9 + 8) - 10 \div 5^1$

Explanation:

Step1: Simplify the parentheses

First, we calculate the expression inside the parentheses: \(9 + 8 = 17\).
So the expression becomes \(75 - 3\times17 - 10\div5^1\).

Step2: Simplify the exponent

Next, we simplify the exponent: \(5^1 = 5\).
Now the expression is \(75 - 3\times17 - 10\div5\).

Step3: Perform multiplication and division

Then, we perform the multiplication and division from left to right:
\(3\times17 = 51\) and \(10\div5 = 2\).
The expression now is \(75 - 51 - 2\).

Step4: Perform subtraction from left to right

Finally, we perform the subtraction:
\(75 - 51 = 24\), and then \(24 - 2 = 22\).

Answer:

\(22\)