How do you simplify #(10^(1/3))^(1/2)#?

1 Answer
Eivind K.
Nov 4, 2015

The exact value of #(10^(1/3))^(1/2)# is #10^(1/6)# which is the sixth root of 10.

Explanation:

#(a^2)^2# can be rewritten to #a^4#.

If it's hard to imagine, think of it like this:
#(a^2)^2 = (a^2) * (a^2) = a * a * a * a#

Just add up the exponents!
EDIT: I meant multiply them.. oops
#(10^(1/3))^(1/2)# = #10^(1/3 * 1/2)# = #10^(1/6)#

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