\(2^{16}=2^{13+3}=2^{13}.2^3=8.2^{13}\)
Vì 8 > 7 nên \(8.2^{13}>7.2^{13}\)
\(\Rightarrow2^{16}>7.2^{13}\)
2^16=2^3.2^13=8.2^13 mà 8>7 => 7.2^13<8.2^13 => 7.2^13<2^16
- Ta có:
216 = 213+3 = 213 . 23 = 213 . 8
Dễ thấy 7 < 8 nên 7.213 < 216
Ta có: 216 = 213 * 23=213 * 8
Vì 8 > 7 => 7 * 213 < 8 * 213
Vậy 7 * 2^13 < 2^16