Question 430664
Evaluate:
{{{243^(-2/5)}}} First, rewrite this with a positive exponent:
{{{1/243^(2/5)}}} Now find the prime factors of 243 (Hint, it's a multiple of 3):
{{{243 = 3*81}}}={{{3*3*27 = 3*3*3*9}}}={{{3*3*3*3*3 = 3^5}}}
Now you have:
{{{1/(3^5)^(2/5)}}} The fifth root of 3 to the fifth is just 3, so now you have...
{{{1/3^2}}} and 3 squared is 9.
{{{1/9}}}