Question

Hello I need help with a problem Simplify the expression:15xy/3x^3y^5

Answer 1

We are given the following expression:

`(15xy)/(3x^3y^5)`

We are asked to simplify the expression. To do that we will use the fact that "x" and "y" are factors in the numerator and the denominator. Therefore, we can cancel out the "x" and "y" from the expression.

To do that we will subtract the exponents of each variable

For "x" we have that the exponent on the numerator is 1 and in the denominator is 3 therefore, the new exponent must be 2:

`(15xy)/(3x^3y^5)=(15y)/(3x^2y^5)`

In the case of "y", we have that the exponent in the numerator is 1 and the denominator is 5, therefore, the new exponent is 4:

`(15y)/(3x^2y^5)=(15)/(3x^2y^4)`

Now, we simplify 15/3 since this is equal to 5;

`(15)/(3x^2y^4)=(5)/(x^2y^4)`

And thus we get the simplified expression.