Solve (2)(-pi)^0-8^frac{1{3}}+0.5^2+lne+1/sqrt{0.01}

$$( 2 ) ( - \pi ) ^ { 0 } - 8 ^ { \frac { 1 } { 3 } } + 0.5 ^ { 2 } + \ln e + \frac { 1 } { \sqrt { 0.01 } }$$

Evaluate

$$11.25$$

Solution Steps

Calculate 8 to the power of \frac{1}{3} and get 2.

$$2\left(-\pi \right)^{0}-2+0.5^{2}+\log_{e}\left(e\right)+\frac{1}{\sqrt{0.01}}$$

Calculate 0.5 to the power of 2 and get 0.25.

$$2\left(-\pi \right)^{0}-2+0.25+\log_{e}\left(e\right)+\frac{1}{\sqrt{0.01}}$$

Add -2 and 0.25 to get -1.75.

$$2\left(-\pi \right)^{0}-1.75+\log_{e}\left(e\right)+\frac{1}{\sqrt{0.01}}$$

The base e logarithm of e is 1.

$$2\left(-\pi \right)^{0}-1.75+1+\frac{1}{\sqrt{0.01}}$$

Add -1.75 and 1 to get -0.75.

$$2\left(-\pi \right)^{0}-0.75+\frac{1}{\sqrt{0.01}}$$

Calculate the square root of 0.01 and get 0.1.

$$2\left(-\pi \right)^{0}-0.75+\frac{1}{0.1}$$

Expand \frac{1}{0.1} by multiplying both numerator and the denominator by 10. Anything divided by one gives itself.

$$2\left(-\pi \right)^{0}-0.75+10$$

Add -0.75 and 10 to get 9.25.

$$2\left(-\pi \right)^{0}+9.25$$

Calculate -\pi to the power of 0 and get 1.

$$2\times 1+9.25$$

Multiply 2 and 1 to get 2.

$$2+9.25$$

Add 2 and 9.25 to get 11.25.

$$11.25$$

Factor

$$\frac{5 \cdot 3 ^ {2}}{2 ^ {2}} = 11\frac{1}{4} = 11.25$$