Which of the following is equivalent to x^5 y^2/xy^2 when =/ 0 and y =/ 0 ? (1 point)
A.) X^6 Y^5
B.) X^5 Y
C.) X^4 Y
D.) X^4
I don't even have a good guess.
Thank you.
Thanks
x^5 y^2/ xy^2 = x^4
I hope you see why.
To simplify the expression x^5 y^2 / xy^2, you can follow these steps:
Step 1: Cancel out any common factors in the numerator and denominator. In this case, both x and y are present in both the numerator and denominator, so you can cancel them out.
Step 2: Simplify the expression after canceling out:
x^5 y^2 / xy^2 = x^(5-1) y^(2-2) = x^4 y^0.
Remember that any number raised to the power of 0 is equal to 1, so y^0 = 1.
Step 3: Simplify the expression further:
x^4 y^0 = x^4.
Therefore, the simplified expression is x^4.
So, the answer is option D.) x^4.