This one ought to be pretty easy:
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Change 25% to 1/4 in both cases. Change the 1/4 inside the parentheses to (1/2)^2.
ReplyDeleteThis now leaves you with:
[(1/2)^2]^1/4
Multiply exponents, and you get:
1/2^1/2
—which can be simplified as
√2/2
QED.