Question

prove it by the law of exponents and power

Answer 1

noGiven That
(64/125)^(-2/3)+(256/625)^(-1/4)+((25)^(1/2)/(64^(1/3))
64=8*8=4*4*4=4^3
125=25*5=5*5*5=5^3
256=64*4=4^4
625=125*5=5^5
25=5^2
64=4^3
By Substituting These In The Above We Will Get
(4/5)^(-2)+(4/5)^(-1)+(5/4)
(5/4)^2+(5/4)+(5/4)
(5/4)^2+2(5/4)
(25/16)+(10/4)
(25+40)/16
(65/16)