Q.18 pls solve.answer quickly

Q.18 pls solve.answer quickly 17. the value 01 n 9 n—7 P. If Hint: 2 5'*1-4 = 1250, find the value of n. 2n-4x5n 4 = 12k 23 (PRESSING LARGE NUMBERS IN STANDARD FO

Dear Student,
Identities used-

a^{m} \times a^{n} = a^{m + n} \frac{1}{a^{- n}} = a^{n}

2^{n - 7} \times 5^{n - 4} = 1250 2^{n - 4} \times 2^{- 3} \times 5^{n - 4} = 1250 \frac{10^{n - 4}}{2^{3}} = 1250 {(10)}^{n - 4} = 1250 \times 8 {(10)}^{n - 4} = 10000 {(10)}^{n - 4} = {(10)}^{4} O n c o m p a r i n g t h e b a s e s, n - 4 = 4 n = 8

Regards