Would it be ok to combine both of the following laws:
(a/b)^m = a^m/b^m
(a^m)^n = a^m(n)
Such as in this case:
(a/b)^ m(n)
= (a^m/b^m)^n
Thanks!
\(\left(\dfrac{a}{b}\right)^{m\cdot n}\)
\(=\left(\dfrac{a^m}{b^m}\right)^n\)
This is correct, this also equals
\(\dfrac{a^{mn}}{b^{mn}}\)
(a/b)^m = a^m/b^m - TRUE if a, b and m are positive.
(a^m)^n = a^m(n) - TRUE if a, m and n are positive.
(a/b)^ m(n) =(a^m/b^m)^n - TRUE if a, b, m and n are positive.