Solve -2^2+-1^2015+{left(sqrt{3}-sqrt{2}right)}^0+{left(1/2right)}^-1

$${ -2 }^{ 2 } + { -1 }^{ 2015 } + { \left( \sqrt{ 3 } - \sqrt{ 2 } \right) }^{ 0 } + { \left( \frac{ 1 }{ 2 } \right) }^{ -1 }$$

Evaluate

$$6$$

Solution Steps

Calculate -2 to the power of 2 and get 4.

$$4+\left(-1\right)^{2015}+\left(\sqrt{3}-\sqrt{2}\right)^{0}+\left(\frac{1}{2}\right)^{-1}$$

Calculate -1 to the power of 2015 and get -1.

$$4-1+\left(\sqrt{3}-\sqrt{2}\right)^{0}+\left(\frac{1}{2}\right)^{-1}$$

Subtract 1 from 4 to get 3.

$$3+\left(\sqrt{3}-\sqrt{2}\right)^{0}+\left(\frac{1}{2}\right)^{-1}$$

Calculate \sqrt{3}-\sqrt{2} to the power of 0 and get 1.

$$3+1+\left(\frac{1}{2}\right)^{-1}$$

Add 3 and 1 to get 4.

$$4+\left(\frac{1}{2}\right)^{-1}$$

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

$$4+2$$

Add 4 and 2 to get 6.

$$6$$

Factor

$$2\times 3$$