Question

find the value of the following​

Answer 1

first term

(64/125)^-2/3=1/(64/125)^2/3=1/cubic root of(64/125)^2

cubic root of 64 is 4

cubic root of 125 is 5

=1/(4/5)^2=1/(16/25)=25/16

second term

1/(256/625)^1/4=1/fourth root of (256/625)

fourth root of 256 is 4

fourth root of 625 is 5

=1/4/5=5/4

third term

√25/ cubic root of 64

√25=5

cubic root of 64 is 4

=5/4

so add solution of all terms, we get

25/16+5/4+5/4=25/16+10/4

lcm is 16

=(25+40) /16=65/16

deminator is 16 not 4

ans is 65/16