Question

if 6370=2^m,5^n,7^k,13^p,then find m n k p

Answer 1

GIVEN
6370=2^m,5^n,7^k,13^p,then find m n k p
${2}^{m} \times {5}^{n} \times {7}^{k} \times {13}^{p} = \: 6370 \\ \\ {2}^{m} \times {5}^{n} \times {7}^{k} \times {13}^{p} = \: 2 \times 5 \times 7 \times 7 \times 13 \\ {2}^{m} \times {5}^{n} \times {7}^{k} \times {13}^{p} = {2}^{1} \times {5}^{1} \times {7}^{2} \times {13}^{1} \\ therefore \: the \: value \: of \: m \: is \: 1 \: \\ value \: of \: n \: is \: 1 \\ value \: of \: k \: is \: 2 \: and \\ \: value \: of \: \\ p \: is \: 1.$