Fill in the blanks : `(i)-4\ "x"7/9=7/9"x"\ ... ` `(ii)5/(11)"x"(-3)/8=(-3)/8"x"\ ....` `(iii)1/2"x"\ (3/4+(-5)/(12))=1/2"x"\ ...+\ ..."x"(-5)/(12)\ ` `(iv)(-4)/5"x"\ (5/7+(-8)/9)=((-4)/5"x" \ ...)+(-4)/5"x"(-8)/9`

Simplify : (25\ "x"\ a^(-4))/(5^(-3)\ "x"\ 10\ "x"\ a^(-8)) (ii) (3^(-5)\ "x"\ 10^(-5)\ "x"\ 125)/(5^(-7)\ "x"\ 6^(-5))

Multiply : (i) 3/4\ by\ 5/7\ (ii) \ 3/7\ by\ ((-4)/5)\ (iii) \ ((-5)/9)\ by\ 4\ (iv) ((-36)/7)\ by\ (-(28)/9)

Simplify and write the answer in the exponential form : (2^5-:2^8)^5"x"\ 2^(-5) (ii) \ (-4)^3"x"\ (5)^(-3)"x"\ (-5)^(-3) (iii) 1/8"x"\ 3^(-3)

Solve the following equations for x\ : (i)\ 7^(2x+3)=1 (ii)\ 2^(x+1)=4^(x-3) (iii)\ 2^(5x+3)=8^(x+3)

Verify that x xx(y-z)=x xxy-x xxz , if (i) x=(4)/(5), y=-(7)/(4) "and" z=3 (ii) x=(3)/(4), y=(8)/(9) "and" z=-5

Solve the following equations and also check your result in each case: (i) ((3x+1))/(16)+((2x-3))/7=((x+3))/8+((3x-1))/(14) (ii) ((1-2x))/7-((2-3x))/8=3/2+x/4 (iii) (9x+7)/2-\ (x-(x-2)/7)=36 (iv) 0. 18\ (5x-4)=\ 0. 5 x+0. 8

Which of the two rational numbers is greater in each of the following pairs? (i) 3/-7 or 1/7 , (ii) 11/(-18) or -5/18 , (iii) 7/10 or -9/10 (iv) 0 or -3/4 , (v) 1/12 or 0, (vi) 18/(-19) or 0 (vii) 7/8 or 11/16 , (viii) 11/-12 or -10/11 , (ix) -13/5 or -4 (x) 17/(-6) or -13/4 , (xi) 7/(-9) or -5/8 , (xii) -3/(-8) or 5/9

Solve (i) 2 - 3/5 (ii) 4 + 7/8 (iii) 3/5 + 2/7 (iv) 9/11 - 4/5 (v) 7/10 + 2/5 + 3/2 (vi) (2) 2/3 + (3) 1/2 (vii) (8) 1/2 - (3) 5/8

Solve the following equations : 5(8x+3)=9(4x+7)

Value of int_(1)^(9)(x-2)(x-4)(x-6)(x-8)(x-5)dx is