Solve [(1/3+16/5)^6-16/3]^0

$$[ ( \frac { 1 } { 3 } + \frac { 16 } { 5 } ) ^ { 6 } - \frac { 16 } { 3 } ] ^ { 0 }$$

Evaluate

$$1$$

Solution Steps

Add \frac{1}{3} and \frac{16}{5} to get \frac{53}{15}.

$$\left(\left(\frac{53}{15}\right)^{6}-\frac{16}{3}\right)^{0}$$

Calculate \frac{53}{15} to the power of 6 and get \frac{22164361129}{11390625}.

$$\left(\frac{22164361129}{11390625}-\frac{16}{3}\right)^{0}$$

Subtract \frac{16}{3} from \frac{22164361129}{11390625} to get \frac{22103611129}{11390625}.

$$\left(\frac{22103611129}{11390625}\right)^{0}$$

Calculate \frac{22103611129}{11390625} to the power of 0 and get 1.

$$1$$

Factor

$$1$$