Evaluate the following : `((-7)/5)^2xx((-2)/7)^(-2)`

Evaluate the following : {(7)^0+(4)^(-1)}xx(2)^2

Evaluate the following ((4)/(7))^(2)times((4)/(7))^(2)

Evaluate the following : 2^4 xx 1/(2)^7

Find the values of the following 2^(7)-7^(2)

Evaluate the following limit: (lim)_(x rarr a)(x^(5/7)-a^(5/7))/(x^(2/7)-a^(2/7))

Evaluate the following using identities: (i) (105)^(2) (ii) (47)^(2) (iii) (8.3 xx 7.7)

Simplify each of the following: (a)\ (7^n-3\ xx\ 7^(n+1))/(20\ xx\ 7^n-2\ xx\ 7^n) (b)\ (5^n-6\ xx\ 5^(n+1))/(9\ xx\ 5^n-2^2xx\ 5^n) (c)\ (16\ xx\ 2^(n+1)-4\ xx\ 2^n)/(16\ xx\ 2^(n+2)-2\ xx\ 2^(n+2))