(ii) `frac{((3)/(5))^(3)times((1)/(7))^(3)}{((3)/(5))^(2)times((1)/(7))^(4)}`

((2)/(3))^(4)times((3)/(2))^(5)times((5)/(3))^(-2)times((3)/(5))^(-3)

Find n if : a. ((4)/(49))^(5)xx((4)/(49))^(n-3)=((2)/(7))^(16) b. ((5)/(7))^(12)xx[((7)/(5))^(2)]^(8)=((7)/(5))^(2n-6) c. ((9)/(25))^(4)xx((9)/(25))^(n)=((3)/(5))^(12) d. ((3)/(5))^(20)xx[((5)/(3))^(3)]^(6)=((3)/(5))^(3n-13)

Show ((-8)/(7))times[(1)/(2)times((-4)/(3))]=[((-8)/(7))times(1)/(2)]times((-4)/(3))

Show that (4)/(7)times((-2)/(8)+(3)/(4))=(4)/(7)times(-2)/(8)+(4)/(7)times(3)/(4)

Evaluate : a. (-1)^(11) b. (-3)^(2)xx(5)^(3) c. 6^(2)xx3^(3) d. (-2)^(3)xx(-5)^(2) e. (-1)^(7)xx2 f. (-1)^(4)xx(-1)^(5) g. 4^(3)xx3^(4) h. (-2)^(5)xx5^(3) i. (-4)^(3)xx(-6)^(3) j. (-1)^(33)xx(-3)^(1) k. ((-1)/(6))^(2) l. ((2)/(11))^(3)

Name the multiplication property of rational numbers shown below : (iii) (4)/(5)xx((3)/(-8)+(-4)/(7))=(4)/(5)xx(3)/(-8)+(4)/(5)xx(-4)/(7)

Find the reciprocal (multiplicative inverse) of : (i) (3)/(5)xx(2)/(3) (ii) (-8)/(3)xx(13)/(-7) (iii) (-3)/(5)xx(-1)/(13)

Simplify (i) {(1/3)^(-2) - (1/2)^(-3)} -: (1/4)^(-2). (ii) (5/8)^(-7) xx (8/5)^(-5).

हल करों - ((3)/(7)xx (-5)/(8))div ((1)/(3)xx (5)/(6)) +((-1)/(2)-(1)/(5))

Evaluate : ((1)/(4)) ^(-2) - 3 (32)^((2)/(5)) xx ( 7) ^(0) +((9)/(16))^(-(1)/(2))