
Power problem
I am revising for my alevels after xmas and am stuck on a problem.
(1/27)^(1/3)
This is in my revision guide and it says the answer is 3,
But i just keep getting 1/3.
Could someone please answer this and show me how it was done.
Please email the solution to:
crzster@hotmail.com
Thankyou.

Hi:
27^(1/3) =3. That is, the cube root of 27 is 3. This is true because 3^3=27. Now, recall the property of exponents that asserts (a^m)/(b^m)=(a/b)^m. From this property and the fact that 27^(1/3)=3, we have (1/27)^(1/3)=[1^(1/3)]/[27^(1/3)]=1/3. So, congratulations! You were correct all along.
Regards,
Rich B.