Solve 3^0+3^-1/3^-1-3^0

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

Evaluate

$$-2$$

Solution Steps

Calculate 3 to the power of 0 and get 1.

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

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

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

Add 1 and \frac{1}{3} to get \frac{4}{3}.

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

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

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

Calculate 3 to the power of 0 and get 1.

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

Subtract 1 from \frac{1}{3} to get -\frac{2}{3}.

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

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

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

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

$$-2$$

Factor

$$-2$$