Solve 7/9(3^5-1)/2

$$\frac{ \frac{ 7 }{ 9 } ( { 3 }^{ 5 } -1) }{ 2 }$$

Evaluate

$$\frac{847}{9}\approx 94.111111111$$

Solution Steps

Calculate 3 to the power of 5 and get 243.

$$\frac{\frac{7}{9}\left(243-1\right)}{2}$$

Subtract 1 from 243 to get 242.

$$\frac{\frac{7}{9}\times 242}{2}$$

Express \frac{7}{9}\times 242 as a single fraction.

$$\frac{\frac{7\times 242}{9}}{2}$$

Multiply 7 and 242 to get 1694.

$$\frac{\frac{1694}{9}}{2}$$

Express \frac{\frac{1694}{9}}{2} as a single fraction.

$$\frac{1694}{9\times 2}$$

Multiply 9 and 2 to get 18.

$$\frac{1694}{18}$$

Reduce the fraction \frac{1694}{18} to lowest terms by extracting and canceling out 2.

$$\frac{847}{9}$$

Factor

$$\frac{7 \cdot 11 ^ {2}}{3 ^ {2}} = 94\frac{1}{9} = 94.11111111111111$$