Question

can anyone please help me ​

Answer 1

EXPLANATION :

$= > {2}^{n - 7} \times {5}^{n - 4} = 1250 \\ = > {2}^{n - 4} \times {2}^{ - 3} \times {5}^{n - 4} = 1250 \\ = > \frac{ {2}^{n - 4} \times {5}^{n - 4} }{ {2}^{3} } = 1250 \\ = > {(2 \times 5)}^{n - 4} = 1250 \times {2}^{3} \\ = > {(10)}^{n - 4} = {(10)}^{4} \: \: (as \: 1250 \times 8 = 10000) \\ = > n - 4 = 4 \\ = > n = 8$

Hope it helps you