SOLUTION: (-27)^n = 9 I am having a hard time understanding how to solve problems like this that have a negative interger and an exponent. I am also having problems with exponents that ar

Algebra ->  Exponents -> SOLUTION: (-27)^n = 9 I am having a hard time understanding how to solve problems like this that have a negative interger and an exponent. I am also having problems with exponents that ar      Log On


   

Question 130034This question is from textbook Algebra 2 and Trigonometry
: (-27)^n = 9
I am having a hard time understanding how to solve problems like this that have a negative interger and an exponent. I am also having problems with exponents that are fractions. The section in my book is called Rational Exponents.
Any help would be greatly appriciated. This question is from textbook Algebra 2 and Trigonometry

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for n:
%28-27%29%5En+=+9 Factor the (-27) and the 9.
%28%28-3%29%5E3%29%5En+=+%28-3%29%5E2 Simplify.
%28-3%29%5E%283n%29+=+%28-3%29%5E2
Apply the rule: If x%5Ea+=+x%5Eb then a+=+b
3n+=+2
n+=+2%2F3
Check:
%28-27%29%5E%282%2F3%29+=+%28729%29%5E%281%2F3%29 = 9