Solve (-3/5)^6+(4/5)^6

$$( - \frac { 3 } { 5 } ) ^ { 6 } + ( \frac { 4 } { 5 } ) ^ { 6 }$$

Evaluate

$$\frac{193}{625}=0.3088$$

Solution Steps

Calculate -\frac{3}{5} to the power of 6 and get \frac{729}{15625}.

$$\frac{729}{15625}+\left(\frac{4}{5}\right)^{6}$$

Calculate \frac{4}{5} to the power of 6 and get \frac{4096}{15625}.

$$\frac{729}{15625}+\frac{4096}{15625}$$

Since \frac{729}{15625} and \frac{4096}{15625} have the same denominator, add them by adding their numerators.

$$\frac{729+4096}{15625}$$

Add 729 and 4096 to get 4825.

$$\frac{4825}{15625}$$

Reduce the fraction \frac{4825}{15625} to lowest terms by extracting and canceling out 25.

$$\frac{193}{625}$$

Factor

$$\frac{193}{5 ^ {4}} = 0.3088$$