simplify √25/3√64+(256/625)^(-1/4)+1/(64/125)^(2/3)
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Step-by-step explanation:
=√25/3√64=5/3×8=5/24
=(256/625)^-1/4=(625/256)^1/4
625=5^4
256=4^4
=((5/4)^4)^1/4= 5/4
=1/(64/125)^2/3=(125/64)^2/3
125=5^3
64=4^3
=((5/4)^3)^2/3= (5/4)^2= 25/16
5/24+5/4+25/16=(1/48)(10+60+75)
=145/48 is the answer..
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