Search 70,669 tutors

# I am working with rational exponents. I have to answer with positive exponents. y 6/7 over y 3/7.

I am working with rational exponents. I have to answer with positive exponents. y 6/7 over y 3/7.

y 6/7

____________

y 3/7

Hi, Kristine.

Since you have the same base y in both the numerator and denominator, you can subtract the exponents to simplify the expression.

Thanks, for this let me see if I got it right. X -5/6 would be the reciprocal to make it positive 1 over X 5/6.

10/28/2012

You can also look at the problem as follows:

y6/7 / y3/7 = y(1/7)·6 / y(1/7)·3 = (y(1/7))6 / (y(1/7))3

Since the contents inside the parentheses are the same, subtract the smaller exponent (in this case, 3) from the exponent of the numerator and the denominator to simplify:

(y(1/7))6-3 / (y(1/7))3-3 = (y(1/7))3 / (y(1/7))0 = (y(1/7))3 / 1 = (y(1/7))3 = y(1/7)·3 = y3/7

As for when you have a negative exponent, you make it positive by finding the reciprocal of the expression.

And so,      x-(5/6)   ==>   x-(5/6) / 1   ==>   1 / x5/6

### Algebra 1 Tutors available for hire in your area

• Katherine B.
Experienced ESL Tutor
Seattle, WA

214 ratings
30 subjects including
Algebra 1
• Decker C.
Expert Math Tutor - Former College Teacher - 11 Years Experience
Bellevue, WA

268 ratings
15 subjects including
Algebra 1
• Alex T.
Alex, Mathematics, Economics, and Statistics
Seattle, WA

26 ratings
20 subjects including
Algebra 1