The quotient when 10¹ºº is divided by 5^75 is:

  1. 275
  2. 275x 1025
  3. 225 x1075
  4. 1025
Monis Rasool Professor Asked on 21st November 2015 in Maths.
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1 Answer(s)

Answer: (2) 2^75 x 10^25

Explanation:-

10^100 divide by 5^75 = (2 x 5)^100/5^75
= 2^100 x 5^100/5^75
= 2^100 x 5^25 x 5^75/5^75
= 2^100 x 5^25
= 2^75 x 2^25 x 5^25
= 2^75 x (2 x 5)^25
= 2^75 x 10^25

Hence, the answer is (2) 2^75 x 1025.

Anurag Mishra Professor Answered on 21st November 2015.
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