Expressed as a product of its prime factors in index form, a number N is (N = 3 x 5^2 x x^3) Express 5N^2 as a product of its prime factors in index form. Give your answer in terms of ?

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Replace N in 5N^2 with N=3x5^2x x^3)
= 5(3 x 5^2 x x^3)^2
Using Law of indices multiply the powers in the bracket
= 5 x 3^2 x 5^4 x x^6 (after removing bracket)
= 3^2 x 5^5 x x^6

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