Please solve step by step

Question

3x² y²

---------

2x^-1 × 4yx²

 

Answer 1

The way to attack these questions is to first combine all terms, then cancel. When you multiply 2 powers by the same base (say x), you can add the powers. For example x^-1 times x^2 = x^(-1+2). Based on this, you can combine terms to find:

 

3x²y²

-------

8xy

 

You can then simplify by applying the division rule, which says when  you divide 2 powers by the same base, you can subtract the powers. For example (x²/x) = x^(2-1) = x. Based on this, the equation can further be simplified to:

 

3xy

----

8

 

or

 

(3/8) xy