Question

please solve it......................................​

Answer 1

Answer:

n = 8

Step-by-step explanation:

${2}^{(n - 7)} \times {5}^{(n - 4)} = 1250 \\ \\ {2}^{n} \times {5}^{n} \times {2}^{( - 7)} \times {5}^{( - 4)} = 2 \times {5}^{4} \\ \\ {2}^{n} \times {5}^{n} = 2 \times {5}^{4} \times {2}^{( 7)} \times {5}^{( 4)}\\ \\ (2 \times 5 {)}^{n} = {2}^{8} \times {5}^{8} \\ \\ {10}^{n} = {10}^{8} \\ \\ n = 8$

hope that this will help you