`(-2)xx(-3)xx(+4)`

If L= lim_(ntooo) (2xx3^(2)xx2^(3)xx3^(4)...xx2^(n-1)xx3^(n))^((1)/((n^(2)+1))) , then the value of L^(4) is _____________. (a) -1/4 (b) 1/2 (c) 1 (d) none of the above

Express each of the following in exponential form: (i) (-4)xx(-4)xx(-4)xx(-4)xx(-4)xx(-4) (ii) 3/5xx3/5xx3/5xx3/5

Express each of the products as a monomials and verify the result in each case for x=1: (4x^2)xx(-3x)xx\ (4/5x^3)

(-4/3)xx(-4/3)xx(-4/3)xx(-4/3)xx(-4/3)

The number of ordered pairs of positive integers (a, b), such that their Least Common Multiple is the given positive integer 7^(2)xx11^(3)xx19^(4) , is equal to

Simplify and express each of the following as a rational number . ((3)/(4))^(2) xx ((-2)/( 5))^(3) xx 4^(3)

Find the value of 1). (-3)+(-8)-:(-4)-2xx(-2) 2). (-3)xx(-4)-:(-2)+(-1)

Find the value of n, given : (2xx4^(3)xx2^(n-4)xx3xx2^(n+2))/(3^(3)xx2^(16))=(2)/(9)

Simplify : a. 15^(7)-:5^(3) b. ((5^(4))^(3)xx2^(12))/(3^(12)) c. ((4^(3))^(2)xx5^(6))/(10^(6)) d. (2xx3^(4)xx2^(5))/(9xx4^(2)) e. (2^(2)xx3^(4)xx16)/(3^(2)xx32) f. (4^(5)xxa^(8)xxb^(16))/(4^(4)xxa^(7)xxb^(4))

Evaluate : [(-(2)/(3))^(-2)]^(3)xx((1)/(3))^(-4)xx3^(-1)xx(1)/(6)