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# Quotient of expression involving exponents z/7 y/5 -------- zy/4

z y6
-------
zy4

simplify
canceling  the common factor z

canceling  the common factor y5

### 2 Answers by Expert Tutors

Rana A. | Experienced tutor for 30+ yrs, and still making it easy!Experienced tutor for 30+ yrs, and still...
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When you factor, you first factor anything out that you can, then cancel the common factors.

ex.
35v – 14
_______
49v

7(5v – 2)
____
49v

Factor out the GCF of the numerator, which means you can pull out a 7 from the top and bottom.

If you do that, you can cancel parts out:
5v – 2
______
7v

See, the 49/7 became 7v in the denominator, and the 5v because it cancelled with the numerator's 7.

When you add in an exponent, you do the same thing, but factor out the exponents too.
For ex.

7f^2+f
______
7f+1

7f^2+f can be broken down into

f times (use parenthesis instead of times around the next part,) 7f+1 over (use / instead of over) 7f+1. So, now you can cancel out the factored expression (7f+1) with the denominator, and you're left with f!