Evaluate the following:-
`a. 2^3`
b.`3^2`
c.`5^4`
d.`(-4)^3`
e.`(-2)^7`

Factorize the following 3,a+b+c,a^(3)+b^(3)+c^(3)a+b+c,a^(2)+b^(2)+c^(2),a^(4)+b^(4)+c^(4)a^(2)+b^(2)+c^(2),a^(3)+b^(3)+c^(3),a^(5)+b^(5)+c^(5)]|

Find the value of the following : ( a )   ( 2/3 )^5   ( b )   ( 3/4 )^4   ( d )   ( -7/8 )^2   ( c ) ( -8/9 )^2

Which is the smallest of the following fractions? 4/9 (b) 2/5 (c) 3/7 (d) 1/4

Find the values of a and b in each of the following : (a)(5+2sqrt3)/(7+4sqrt(3))=a-6sqrt(3)" "(b)(3-sqrt(5))/(3+2sqrt(5))=asqrt(5)-(19)/(11) (c )(sqrt(2)+sqrt(3))/(3sqrt2-2sqrt(3))=2-bsqrt(6)" "(d)(7+sqrt(5))/(7-sqrt(5))-(7-sqrt(5))/(7+sqrt(5))=a+(7)/(11)sqrt(5b)

Find the values of a, b, c, and d from the following equation: [2a+b a-2b5c-d4c+3d]=[4-3 11 24]

Express the following as improper fractions: (a) (7)(3)/(4) (b) (5)(6)/(7) (c) (2)(5)/(6) (d) (10)(3)/(5) (e) (9) (3)/(7) (f) (8)(9)/(4)

If A={1,2,3,4},B={2,3,4,5} and C={4,5,6,7} , then find each of the following : (i) A - (B-C) (ii) (A- B) -C .

Plot the following points on the co-ordinate plane: A (3,5), B(2, -4), C(-2, 7), D(-3, -4), E(0, -5) and F(5,0)