Question

Simplify as much as possible: (a/b)^4

Answer 1

you are raising a/b to the 4th power

that is the same as raising a to the 4th power over b to the 4th power

ie

\[\Large \left(\frac{a}{b}\right)^4 = \frac{a^4}{b^4}\]

the general rule is

\[\Large \left(\frac{a}{b}\right)^k = \frac{a^k}{b^k}\]