Find (((1)/(3))^(-2n)-: (1)/(3) ^(-2)times (1)/(3^(n/2)) ^(-2)- (1)/(3^(-3)) ^(n))/( (1)/(3^(-2/3)) ^((9)/(2)^(m))times (1)/(16^(-3)) ^((1)/(4))) if m-n=(2^(m+n))^(m-n)*(2^(n+p))^(n-p)*(2^(p+m))^(p-m)
Answers
Step-by-step explanation:

(i) Resolving 1575 into prime factors:
Thus, to get a perfect square, the given number should be divided by 7
New number obtained
Hence, the new number is the square of 15
(ii) Resolving 9075 into prime factors:
Thus, to get a perfect square, the given number should be divided by 3
New number obtained
Hence, the new number is the square of 55
(iii) Resolving 4851 into prime factors:
Thus, to get a perfect square, the given number should be divided by 11
New number obtained
Hence, the new number is the square of 21
(iv) Resolving 3380 into prime factors:
Thus, to get a perfect square, the given number should be divided by 5
New number obtained
Hence, the new number is the square of 26
(v) Resolving 4500 into prime factors:
Thus, to get a perfect square, the given number should be divided by 5
New number obtained
Hence, the new number is the square of 30
(vi) Resolving 7776 into prime factors:
Thus, to get a perfect square, the given number should be divided by 6 whish is a product of 2 and 3
New number obtained
Hence, the new number is the square of 36
(vii) Resolving 8820 into prime factors:
Thus, to get a perfect square, the given number should be divided by 5
New number obtained
Hence, the new number is the square of 42
(viii) Resolving 4056 into prime factors:
Thus, to get a perfect square, the given number should be divided by 6, which is a product of 2 and 3
New number obtained
Hence, the new number is the square of 26