निम्न का सरलीकरण कीजिए-`root5(243x^(10)y^(5)z^(10))`

Assuming that x ,\ y ,\ z are positive real numbers, simplify each of the following: (sqrt(x))^(-2/3)\ sqrt(y^4)-:\ sqrt(x y^(-1/2)) (ii) root(5)(243\ x^(10)y^5z^(10))

Assuming that x,y,z are positive real numbers,simplify each of the following: (sqrt(x))^(-(2)/(3))sqrt(y^(4))-:sqrt(xy^(-(1)/(2)))( ii) 243x^(10)y^(5)z^(10)5

(root5root5(a^(5)))^(10) is equal to

If the positive numbers x,y&z satisfy xyz=1000,log_(10)x log_(10)y+log_(10)xy log_(10)z=1 and log_(x)10+log_(y)10+log_(z)10=(1)/(3) then the value of root(3)((log_(10)x)^(3)+(log_(10)y)^(3)+(log_(10)z)^(3)) is

If xyz ne 0 and 30x^(-5)y^(12)z^(-8)=10 x^(-6)y^(5)z^(4) , then what is the value of x in terms of y and z ?

root(5)((32)/(243)) is a surd

Divide 10y^(2)z^(3) by 5y^(2)z