Simplify :
`( x^a / y^a ) times ( y^a / z^a ) times ( z^a / x^a )`

Show : sqrt( x^-1y) times sqrt( y^-1z ) times sqrt( z^-1x) = 1

Show that : ( x + y ) times z = ( x times z ) + ( y times z )

Show that : x times ( y + z ) = x times y + x times z

Simplify: x^7 y^3 z^(-4) xx x^(-4) y^6 z^(-2) xx x^2 z^3

Simplify : ( y - z )^2 + ( z - x )^2 + ( x - y )^2 is equal to

4x times5y times7z

Simplify (x+y+z)^(3)-(x-y-z)^(2) .

Evaluate : x times x times y times y times y times y times z times z times z

In three numbers, X,Y and Z, two times of X is equal to three times of Y. and four times of Y is equal to five times of Z. What is the ratio of X, Y and Z ?

Write the following in the exponential form: (i) b xx b xx b xx …15 times (ii) y xx y xx y xx …. 20 times (iii) 14 xx a xx a xx a xx a xx b xx b xx b (iv) 6 xx x xx x xx y xx y (v) 3 xx z xx z xx z xx y xx y xx x