<PRE><B>Question 214779</B>
(16) power of 1/2 I know the answer is four b/c I did it in the calculator but how does it get that.


Step 1.  The power of 1/2 means square root.


Step 2.  Now we know  {{{16 = 4*4=4^1*4^1=4^(1+1)=4^2}}}


{{{16^(1/2)=(4^2)^(1/2)=4^(2*(1/2))=4^1=4}}}  where in the exponent {{{2*(1/2)=1}}} OR {{{(4^m)^n=4^(m*n)}}} where {{{m=2}}} and {{{n=1/2}}}


I hope the above steps were helpful. 


For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.


And good luck in your studies!


Respectfully,
Dr J



</PRE>