Evaluate
2048
Factor
2^{11}
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2+2+4+8+16+32+64+128+256+512+1024
Add 1 and 1 to get 2.
4+4+8+16+32+64+128+256+512+1024
Add 2 and 2 to get 4.
8+8+16+32+64+128+256+512+1024
Add 4 and 4 to get 8.
16+16+32+64+128+256+512+1024
Add 8 and 8 to get 16.
32+32+64+128+256+512+1024
Add 16 and 16 to get 32.
64+64+128+256+512+1024
Add 32 and 32 to get 64.
128+128+256+512+1024
Add 64 and 64 to get 128.
256+256+512+1024
Add 128 and 128 to get 256.
512+512+1024
Add 256 and 256 to get 512.
1024+1024
Add 512 and 512 to get 1024.
2048
Add 1024 and 1024 to get 2048.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}