`(2/3)^(-2) xx (3/4)^(-3) xx ((-7)/8)^o`

Simplify: (6/7)^3 xx (7/6)^2 xx ((-6)/8)^3

Name the property of multiplication shown by each of the following statements: (i) (-12)/(5) xx (3)/(4)=(3)/(4)xx (-12)/(5) (ii) (-8)/(15) xx 1=(-8)/(15) (iii) ((-2)/(3) xx (7)/(8)) xx (-5)/(7) = (-2)/(3) xx ((7)/(8) xx (-5)/(7)) (iv) (-2)/(3) xx 0=0 (v) (2)/(5) xx ((-4)/(5) +(-3)/(10)) = ((2)/(5) xx (-4)/(5)) +((2)/(5)xx (-3)/(10))

Simplify and express the result in power notation with positive exponent.(i) (-4)^(5)-:(-4)^(8)( ii) ((1)/(2^(3)))^(2) (iii) (-3)^(4)xx((5)/(3))^(4)( iv) (3^(-7)-:3^(-10))xx3^(-5)(v)2^(-3)xx(-7)^(-3)

If root3((3^(6) xx 4^(3) xx 2^(6))/(8^(9) xx2^(3)))=(3/8)^(k) ,then k = _______ .

(3/2 xx (-7)/4) - ((-5)/2 xx 3/4)

Evaluate: (i) ((2)/(3))^(3) xx ((2)/(3)) ^(2)" "(ii)((4)/(7))^(7)xx ((4)/(7))^(-3)" "(iii) ((3)/(2))^(-3) " "(iv) ((8)/(5))^(-3) xx((8)/(5))^(2)

Evaluate: (((8)/(9))^(2)xx(-3)^(7)xx((1)/(2))^(3))/((27)^(2)xx64)

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)

Write each of the following in power notation: ( i ) frac(5)(7)xxfrac(5)(7)xxfrac(5)(7)xxfrac(5)(7) ( ii ) (frac(-4)(3)) xx (frac(-4)(3)) xx (frac(-4)(3)) xx (frac(-4)(3)) xx (frac(-4)(3)) ( iii ) (frac(-1)(6)) xx (frac(-1)(6)) xx (frac(-1)(6)) ( iv ) (-8) xx (-8) xx (-8) xx (-8) xx (-8)