Question 130034
Solve for n:
{{{(-27)^n = 9}}} Factor the (-27) and the 9.
{{{((-3)^3)^n = (-3)^2}}} Simplify.
{{{(-3)^(3n) = (-3)^2}}}
Apply the rule: If {{{x^a = x^b}}} then {{{a = b}}}
{{{3n = 2}}}
{{{n = 2/3}}}
Check:
{{{(-27)^(2/3) = (729)^(1/3)}}} = {{{9}}}