Simplify and express the result in exponential form:
( i ) `(frac(3)(4))^(7) xx (frac(3)(4))^(5)`
( ii ) `(frac(-2)(5))^(11) xx (frac(-2)(5))^(4)`

Evaluate: ( i ) (frac(3)(4))^(2) ( ii ) (frac(-2)(3))^(3) ( iii ) (frac(-4)(5))^(5)

Simplify and express each of the following as a rational number: ( i ) (frac(3)(2))^(-3) xx (frac(3)(2))^(-2) ( ii ) (frac(3)(4))^(-2) xx (frac(5)(2))^(-3) ( iii ) (frac(-2)(3))^(-4) xx (frac(-3)(5))^(2)

Simplify each of the following and express each as a rational number: ( i ) (frac(3)(2))^(4) xx (frac(1)(5))^(2) ( ii ) (frac(-2)(3))^(5) xx (frac(-3)(7))^(3) ( iii ) (frac(-1)(2))^(5) xx 2^(3) xx (frac(3)(4))^(2) ( iv ) (frac(2)(3))^(2) xx (frac(-3)(5))^(3) xx (frac(7)(2))^(2) ( v ) {(frac(-3)(4))^(3)-(frac(-5)(2))^(3)} xx 4^(2)

Simplify each of the following and express each as a rational number: ( i ) (frac(2)(3))^(4) xx (frac(2)(3))^(2) ( ii ) (frac(-3)(4))^(3) xx (frac(-3)(4))^(2) ( iii ) (frac(5)(7))^(5) xx (frac(5)(7))^(-3) ( iv ) (frac(-3)(5))^(-3) xx (frac(-3)(5))^(2)

Simplify each of the following as a rational number: ( i ) (frac(4)(9))^(6) xx (frac(4)(9))^(-4) ( ii ) (frac(-7)(8))^(-3) xx (frac(-7)(8))^(2) ( iii ) (frac(4)(3))^(-3) xx (frac(4)(3))^(-2)

Find x such that (frac(3)(5))^(3) xx (frac(3)(5))^(-6)=(frac(3)(5))^(2x-1).

Evaluate (frac(5)(8))^-7 xx (frac(8)(5))^-4

Simplify and express the result in power rotation with positive exponent. (-3)^4 xx (frac(5)(3))^4

. Simplify: (i) frac(-36)(7) xx frac(-14)(9) (ii) frac(-8)(13) xx frac(39)(-4)

If (frac(5)(3))^(-5) xx (frac(5)(3))^(11)=(frac(5)(3))^(8x), then x = ?