How do you simplify \frac { y ^ { \frac { 1} { 2} } y ^ { - \frac { 4} { 3} } } { y ^ { \frac { 1} { 3} } }?

1 Answer
Jul 30, 2017

y^(-7/6)

Explanation:

Use the rule

a^m*a^n=a^(m+n)

and (a^m)/(a^n)=a^(m-n)

Therefore,

(y^(1/2+(-4/3)))/y^(1/3)

=y^(-5/6)/y^(1/3)

=y^(-7/6)