`5+1/7xx[{-14xx(25-15-5)}-:(22-6)]=`

Fill in the blanks: (i) (-23)/(17)xx (18)/(35)= (18)/(35) xx (.......) (ii) -38xx(-7)/(19)=(-7)/(19)xx (.....) (iii) ((15)/(7)xx (-21)/(10)) xx (-5)/(6) = (........) xx ((-21)/(10) xx (-5)/(6)) (iv) (-12)/(5) xx ((4)/(15)xx (25)/(-16))=((-12)/(5)xx (4)/(15))xx(........)

4/5xx(-15/21)xx14/25

Write the following in the form of exponents: (i) 5^4 xx (-5)^2 (ii) 15 xx (-15)^(25) (iii) 12^5 / (-12)^3 (iv) (-p)^(14) / (-p)^7

Verify that: (i) ((-3)/(16)xx(8)/(15))=((8)/(15)xx(-3)/(16)) (ii) (2)/(3)xx((6)/(7)xx(-4)/(15))= ((2)/(3)xx(6)/(7))xx(-14)/(15) (iii) (5)/(6)xx((-4)/(5)+(-7)/(10))=((5)/(6)xx(-4)/(5))+((5)/(6)xx(-7)/(10))

Using appropriate properties find : (2)/(5) xx ((-3)/(7)) - (1)/(6) xx (3)/(2) + (1)/(14) xx (2)/(5) = (2)/(5) xx ((-3)/(7)) + (1)/(14) xx (2)/(5) - (1)/(cancel6) xx (cancel 3)/(2) = (2)/(5) xx ((-3)/(7) + (1)/(14) ) - (1)/(4) = (2)/(5) xx ((-6+1)/(14))- (1)/(4) = (cancel 2)/(cancel 5) xx (-cancel 5)/(cancel14) - (1)/(4) = (-1)/(7) - (1)/(4) (- 4 - 7)/(28) = (-11)/(28)

Find the product: 4/7xx(14)/(25) (ii) 7 1/2xx2 4/(15)

Find the product: 4/7xx(14)/(25) (ii) 7 1/2xx2 4/(15)

Name the property under multiplication used in each of the following : 2/3x(6/7xx-14/15) = (2/3 xx 6/7)xx-14/15