Find the value of n :

`( 5^2 )^n = ( 5^4 )^3`

Find the value of n if : (2/3 )^3 times (2/3 )^5 = (2/3 )^(n-2)

Find the value of n if a= 2^3 x 3, b = 2 x 3 x 5, c = 3^n x 5 and LCM (a, b, c) = 2^3 x 3^2 x 5.

Find the value of ( 1 - 1/3 ) ( 1 - 1/4 ) ( 1 - 1/5 ) ---------- ( 1 - 1/n ) is ( a ) 2/n ( b ) 4/n ( c ) 3/n ( d ) 5/n

Find the value of n such that (i)^nP_(5)=42^(n)P_(3),n>4(nP_(4))/(n-1P_(4))=(5)/(3),n>4

If 2^(n-7) xx 5^(n-4)=1250, find the value of n. Hint: 2^(n-4) xx 2^(-3) xx 5^(n-1)=1250 implies frac(2^(n-4) xx 5^(n-4))(2^(3))= 1250 implies (2 xx 5)^(n-4)=(10)^(4).

Find the value of n such that "(i) "^(n)P_(5) =42 xx ""^(n)P_(3), n gt 4 " (ii) "(""^(n)P_(4))/(" "^(n-1)P_(4))=(5)/(3), n gt 4.