If 2160 = 2^a × 3^b × 5^c, find a, b and c. Hence calculate the value of 3^a × 2^(-b) × 5^(-c).
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2160=2^a.3^b.5^c
=2^4.3^3.5^1
a=4,b=3,c=1
Value of 3^a×2^-b×5^-c
=3^4×2^-3×5^-1
=81/2^3×5^1
=81/8×5
=81/40
=2×1/40
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