+299 Use the laws of exponents to simplify each of the following. Give your answer using only positive exponets.
2^2/3 2^-5/4
+129850
2^(2/3) = (2^2)^(1/3) = (4)^(1/3)
2^(-5/4)
Note that this is (2/1)^(-5/4)
We can "flip" the fraction and make the exponent positive.....so we have
(1/2)^(5/4) = [(1/2)^5 ] ^(1/4) = [ 1/32 ]^(1/4)
The last answer might also be simplified as [ (1/16) (1/2) ] ^(1/4) =
(1/16)^(1/4) * (1/2)^(1/4) =
(1/2)* (1/2)^(1/4)
