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Q.

If 6370= 2 m .5 n .7 k .13 p  , then the value of m+n+k+p   is ____.


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Detailed Solution

If 6370= 2 m .5 n .7 k .13 p  , then the value of m+n+k+p   is 5.
Given 6370= 2 m .5 n .7 k .13 p  .
Prime factorization is,
Question ImagePrime factors are,
6370=2×5×7×7×13   6370=2×5× 7 2 ×13  
Comparing with 6370= 2 m .5 n .7 k .13 p   2 m .5 n .7 k .13 p = 2 1 × 5 1 × 7 2 × 13 1   Hence, m = 1, n = 1, k = 2 and p = 1
Therefore,
m + n + k + p = 5
Hence, the value of m + n + k + p is 5.
 
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