सरल करें: (i) 2^(2/3). 2^(1/5) (ii)(1/(3^3))^7 (iii)(11^(1/2))/(11^(1/4)) (iv)7^(1 /2). 8^(1/2) ...

Simplify : (i) 2^(2/3). 2^(1/5) (ii) (1/(3^3))^7 (iii) (11^(1/2))/(11^(1/4)) (iv) 7^(1/2). 8^(1/2)

Simplify : (i) 2^(2//3).2^(1//5) (ii) ((1)/(3^(3)))^(7) (iii) (11^((1)/(2)))/(11^((1)/(4))) (iv) 7^(1//2).8^(1//2)

Solve : (i) 2^((2)/(3))*2^((1)/(4)) (ii) ((1)/(3^(3)))^(7) (iii) (11^((1)/(2)))/(11^((1)/(4))) (iv) 7^((1)/(2))*8^((1)/(2))

Simplify (i) 2^(2/3). 2^(1/3) (ii) (3^(1/5))^4 (iii) (7^(1/5))/(7^(1/3)) (iv) 13^(1/5). 17^(1/5)

Evaluate (i) (1^(3) + 2^(3) + 3^(3))^((1)/(2)) (ii) [5(8^((1)/(2)) +27^((1)/(3)))^(3)]^((1)/(4)) (iii) (2^(0) + 7^(0))/(5^(0)) (iv) [(16)^((1)/(2))]^((1)/(2))

Simplify (i) (6^(1//4))/(6^(1//5)) (ii) (8^(1//2))/(8^(2//3)) (iii) (5^(6//7))/(5^(2//3))

Simplify (i) 3^((1)/(4)) xx 5^((1)/(4)) (ii) 2^((5)/(8)) xx 3^((5)/(8)) (iii) 6^((1)/(2)) xx 7^((1)/(2))

Find each of the following products: (i) (x + 3) (x - 3) (ii) (2x + 5)(2x - 5) (ii) (8 + x)(8 - x) (iv) (7x + 11y) (7x - 11y) (v) (5x^(2) + (3)/(4) y^(2)) (5x^(2) - (3)/(4) y^(2)) (vi) ((4x)/(5) - (5y)/(3)) ((4x)/(5) + (5y)/(3)) (vii) (x + (1)/(x)) (x - (1)/(x)) (viii) ((1)/(x) + (1)/(y)) ((1)/(x) - (1)/(y)) (ix) (2a + (3)/(b)) (2a - (3)/(b))

Find the value of. (i) (3^@+4^(-1)) xx 2^2 (ii) (2^(-1)xx 4^(-1))-: 2^(-1) (iii) (1/2)^-2 + (1/3)^-2 + (1/4)^-2 (iv) (3^-1 + 4^-1+ 5^(-1))^0 (v) {((-2)/3)^-2}^2

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)