Solve 3^-1-5^1/3^1+5^1

$$\frac { 3 ^ { - 1 } - 5 ^ { 1 } } { 3 ^ { 1 } + 5 ^ { 1 } }$$

Evaluate

$$-\frac{7}{12}\approx -0.583333333$$

Solution Steps

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

$$\frac{\frac{1}{3}-5^{1}}{3^{1}+5^{1}}$$

Calculate 5 to the power of 1 and get 5.

$$\frac{\frac{1}{3}-5}{3^{1}+5^{1}}$$

Subtract 5 from \frac{1}{3} to get -\frac{14}{3}.

$$\frac{-\frac{14}{3}}{3^{1}+5^{1}}$$

Calculate 3 to the power of 1 and get 3.

$$\frac{-\frac{14}{3}}{3+5^{1}}$$

Calculate 5 to the power of 1 and get 5.

$$\frac{-\frac{14}{3}}{3+5}$$

Add 3 and 5 to get 8.

$$\frac{-\frac{14}{3}}{8}$$

Express \frac{-\frac{14}{3}}{8} as a single fraction.

$$\frac{-14}{3\times 8}$$

Multiply 3 and 8 to get 24.

$$\frac{-14}{24}$$

Reduce the fraction \frac{-14}{24} to lowest terms by extracting and canceling out 2.

$$-\frac{7}{12}$$

Factor

$$-\frac{7}{12} = -0.5833333333333334$$