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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.