Question

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

Answer 1

$10$

Step-by-step explanation:

$Given, \: \: \: 6370 = 2m.5n.7k.13p \\ 6370 = 910 \times m.n.k.p \\ m.n.k.p = 7 = 1 \times 1 \times 1 \times 7 \\ then, \: \: m = 1, n = 1, k = 1 \: \: and \: \: p = 7 \\ so, \: \: \: m + n + k + p = 1 + 1 + 1 + 7 \\ = 10$

Answer 2

Step-by-step explanation:

6370 = 2 × 5 × 7 × 7 × 13 = 2 × 5 × 7 × 13 × mnkp

=> mnkp = 1 × 1 × 1 × 7

=> m+n+k+p = 10