Question

Find the quotient with the necessary restrictions.​

Answer 1

`(44x^(9))/(y^(15))`

Explanation:

Using laws of exponents for multiplication and division, we can simplify this expression. However, since you have two fractions and are dividing, you will need to use the rule of keep-change-flip to keep the first fraction, change the operation to multiplication and flip the second fraction:

`(22x^(4)y)/(y^(7))*(2x^(5))/(y^(9))`

The law of exponents for multiplication says that if you have the same base and multiply, you must add the exponents:

`(22x^(4)y)/(y^(7))*(2x^(5))/(y^(9))`=
`(44x^(9)y)/(y^(16))`

Since there is a 'y' in the numerator and denominator, you need to use the law of exponents for division to subtract the exponents:

`(44x^(9)y)/(y^(16))`=
`(44x^(9))/(y^(15))`