Solve {left(5/10right)}^-14+(-19)-(-34)

$${ \left( \frac{ 5 }{ 10 } \right) }^{ -14+(-19)-(-34) }$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\left(\frac{1}{2}\right)^{-14-19-\left(-34\right)}$$

Subtract 19 from -14 to get -33.

$$\left(\frac{1}{2}\right)^{-33-\left(-34\right)}$$

The opposite of -34 is 34.

$$\left(\frac{1}{2}\right)^{-33+34}$$

Add -33 and 34 to get 1.

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

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

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$