Question

simplify √25/3√64+(256/625)^(-1/4)+1/(64/125)^(2/3)​

Answer 1

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..