(C) We have,$16^5 \times 5^{16} = (2^4)^5 \times 5^{16}$ $= 2^{20} \times 5^{16}$ $= 2^4 \times 2^{16} \times 5^{16}$ $= 16 \times (2 \times 5)^{16}$

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(C) We have,$16^5 \times 5^{16} = (2^4)^5 \times 5^{16}$ $= 2^{20} \times 5^{16}$ $= 2^4 \times 2^{16} \times 5^{16}$ $= 16 \times (2 \times 5)^{16}$ $= 16 \times 10^{16}$ $= 160000000000000000$ This number consists of $2$ digits ($1$ and $6$) followed by $16$ zeros. Therefore,the total number of digits is $2 + 16 = 18$.