Solve 2^0+1/2/frac{1{4}-3^0}

$$\frac { 2 ^ { 0 } + \frac { 1 } { 2 } } { \frac { 1 } { 4 } - 3 ^ { 0 } }$$

Evaluate

$$-2$$

Solution Steps

Calculate 2 to the power of 0 and get 1.

$$\frac{1+\frac{1}{2}}{\frac{1}{4}-3^{0}}$$

Add 1 and \frac{1}{2} to get \frac{3}{2}.

$$\frac{\frac{3}{2}}{\frac{1}{4}-3^{0}}$$

Calculate 3 to the power of 0 and get 1.

$$\frac{\frac{3}{2}}{\frac{1}{4}-1}$$

Subtract 1 from \frac{1}{4} to get -\frac{3}{4}.

$$\frac{\frac{3}{2}}{-\frac{3}{4}}$$

Divide \frac{3}{2} by -\frac{3}{4} by multiplying \frac{3}{2} by the reciprocal of -\frac{3}{4}.

$$\frac{3}{2}\left(-\frac{4}{3}\right)$$

Multiply \frac{3}{2} and -\frac{4}{3} to get -2.

$$-2$$

Factor

$$-2$$