Question

How do you simplify `\frac { s ^ { - 55} } { s ^ { - 15} \cdot s ^ { - 4} }`?

Answer 1

`s^-36`

Explanation:

Use the rules of exponents

Product rule: `a^m*a^n=a^(m+n)`

`s^-55/(s^-15*s^-4)=s^-55/(s^(-15-4))=s^-55/(s^(-19))`

Quotient rule `a^m/a^n=a^(m-n)`

`s^-55/(s^(-19))=s^(-55-(-19))=s^-36`