Question

How do you evaluate `(w ^ { - \frac { 14} { 15} } \cdot w ^ { - \frac { 4} { 15} } ) \div w ^ { - \frac { 13} { 15} }`?

Answer 1

`w^-(1/3)`

Explanation:

Numerator `= w^(-(14/15)-(4/15))=w^-(18/15)`
Denominator `= w^-(13/15)`
Solution is :
`=w^-(18/15)/w^-(13/15)`
`w^(-(18/15)+(13/15))=w^-(5/15)=w^-(1/3)`