Write the base and exponent in each of the following.
a. `3^(6)`
b. `11^(3)`
c. `4^(5)`

Write 8^(3) as in exponent form with base 2.

Write three equivalent ratios for each of the following: 2:7 3:7 5:6 4:9

Simplify and express each of the following as a rational number : ((-3)^(11))/((-3)^(5))

Write all the terms of each of the following algebraic expressions : 3ab-9ab^(3)+5c^(2)-3

Write the number of terms in each of the following algebraic expressions : 5xxa+3b-:c+(5ab-3)/(7)

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)

If A = {1,2,3,4},B={2,4,6,8} and C={3,4,5,6} , then find each of the following , (i) (A - B) cap C (ii) (A cap B) -C (iii) A- (B-C) (iv) A cup (B - C) .

Evaluate : a. (-1)^(27) b. 0xx11^(6) c. 2^(4)xx3^(3)

Write down each of the following in exponential form: (i) 4a^3\ x\ \ 6a b^2\ x\ \ c^2 (ii) 5x y\ x\ 3x^2y\ x\ 7y^2 (iii) a^3x\ 3a b^2x\ 2a^2b^2

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 .