Question

Please also let me know if my work so far is incorrect or correct.

Answer 1

We have the following expression:

`(4(3x)^2)/((2x)^2)`

The first thing we must do is to solve the square of the parenthesis and then we can operate multiplication and division

`\begin{gathered} (4\cdot9x^2)/(4x^2) \\ (36x^2)/(4x^2)=9 \end{gathered}`

The answer is 9

Clarification

The order of operations is a rule that indicates the correct sequence of steps to evaluate a mathematical expression, parentheses, exponents, multiplication, and division (from left to right), addition and subtraction (from left to right), that's the order

For this reason, first you solve the exponents and then multiply the 4

After solving both exponents, we have x^2 in both the numerator and denominator these cancels