2^31+2^28/2^29+2^26

asked by guest
on Nov 23, 2024 at 3:49 pm



You asked:

Evaluate the expression: 231+228229+226{2}^{31} + \frac{{2}^{28}}{{2}^{29}} + {2}^{26}

MathBot Answer:

231+228229+226=44291850252=2214592512.5{2}^{31} + \frac{{2}^{28}}{{2}^{29}} + {2}^{26} = \frac{4429185025}{2} = 2214592512.5


231+228229+226=2147483648+228229+226=2147483648+268435456229+226=2147483648+268435456536870912+226=2147483648+12+226=42949672972+226=42949672972+67108864=44291850252\begin{aligned}{2}^{31} + \frac{{2}^{28}}{{2}^{29}} + {2}^{26}&=2147483648 + \frac{{2}^{28}}{{2}^{29}} + {2}^{26}\\&=2147483648 + \frac{268435456}{{2}^{29}} + {2}^{26}\\&=2147483648 + \frac{268435456}{536870912} + {2}^{26}\\&=2147483648 + \frac{1}{2} + {2}^{26}\\&=\frac{4294967297}{2} + {2}^{26}\\&=\frac{4294967297}{2} + 67108864\\&=\frac{4429185025}{2}\end{aligned}