Evaluate
10.25
Factor
\frac{41}{2 ^ {2}} = 10\frac{1}{4} = 10.25
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\left(-\pi \right)^{0}-2+0.5^{2}+\log_{e}\left(e\right)+\frac{1}{\sqrt{0.01}}
Calculate 8 to the power of \frac{1}{3} and get 2.
\left(-\pi \right)^{0}-2+0.25+\log_{e}\left(e\right)+\frac{1}{\sqrt{0.01}}
Calculate 0.5 to the power of 2 and get 0.25.
\left(-\pi \right)^{0}-1.75+\log_{e}\left(e\right)+\frac{1}{\sqrt{0.01}}
Add -2 and 0.25 to get -1.75.
\left(-\pi \right)^{0}-1.75+1+\frac{1}{\sqrt{0.01}}
The base e logarithm of e is 1.
\left(-\pi \right)^{0}-0.75+\frac{1}{\sqrt{0.01}}
Add -1.75 and 1 to get -0.75.
\left(-\pi \right)^{0}-0.75+\frac{1}{0.1}
Calculate the square root of 0.01 and get 0.1.
\left(-\pi \right)^{0}-0.75+10
Expand \frac{1}{0.1} by multiplying both numerator and the denominator by 10. Anything divided by one gives itself.
\left(-\pi \right)^{0}+9.25
Add -0.75 and 10 to get 9.25.
1+9.25
Calculate -\pi to the power of 0 and get 1.
10.25
Add 1 and 9.25 to get 10.25.
Examples
Quadratic equation
{ 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}