Solve (4/3)(4^4)/(7)

$$\frac { ( \frac { 4 } { 3 } ) ( 4 ^ { 4 } ) } { ( 7 ) }$$

Evaluate

$$\frac{1024}{21}\approx 48.761904762$$

Solution Steps

Calculate 4 to the power of 4 and get 256.

$$\frac{\frac{4}{3}\times 256}{7}$$

Express \frac{4}{3}\times 256 as a single fraction.

$$\frac{\frac{4\times 256}{3}}{7}$$

Multiply 4 and 256 to get 1024.

$$\frac{\frac{1024}{3}}{7}$$

Express \frac{\frac{1024}{3}}{7} as a single fraction.

$$\frac{1024}{3\times 7}$$

Multiply 3 and 7 to get 21.

$$\frac{1024}{21}$$

Factor

$$\frac{2 ^ {10}}{3 \cdot 7} = 48\frac{16}{21} = 48.76190476190476$$