\frac { - 2 ^ { 10 } ( 2 ^ { 5 } } { 2 ^ { 10 } ( 1 + 1 }
Evaluate
-16
Factor
-16
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\frac{-2^{10}}{2^{5}\left(1+1\right)}
Cancel out 2^{5} in both numerator and denominator.
\frac{-1024}{2^{5}\left(1+1\right)}
Calculate 2 to the power of 10 and get 1024.
\frac{-1024}{32\left(1+1\right)}
Calculate 2 to the power of 5 and get 32.
\frac{-1024}{32\times 2}
Add 1 and 1 to get 2.
\frac{-1024}{64}
Multiply 32 and 2 to get 64.
-16
Divide -1024 by 64 to get -16.
Examples
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y = 3x + 4
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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}