Question

52 by 160 is equal to 13 by 2 power n into 5 power m show what is the value of m + n

Answer 1

Answer:

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Answer 2

Answer:

52/160 = 13/2^n × 5^m

or, 13/40 = 13/2^n × 5^m

or, 13/40 = 13× 5^m/2^n

or, 13/40×1/13 = 5^m/ 2^n

or, 1/40 = 5^m/2^n

or, 1 = 5^m &

40 = 2^n

1/40 = 1/(2×2×2×5)

or, 1/40 = 5-¹/2³

now,

5^m = 5¹

or, m = 1

2^n = 2³

or, n = 3

ans.

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