Solve 500{left(7/4right)}^4

$$500 { \left( \frac{ 7 }{ 4 } \right) }^{ 4 }$$

Evaluate

$$\frac{300125}{64}=4689.453125$$

Solution Steps

Calculate \frac{7}{4} to the power of 4 and get \frac{2401}{256}.

$$500\times \frac{2401}{256}$$

Express 500\times \frac{2401}{256} as a single fraction.

$$\frac{500\times 2401}{256}$$

Multiply 500 and 2401 to get 1200500.

$$\frac{1200500}{256}$$

Reduce the fraction \frac{1200500}{256} to lowest terms by extracting and canceling out 4.

$$\frac{300125}{64}$$

Factor

$$\frac{5 ^ {3} \cdot 7 ^ {4}}{2 ^ {6}} = 4689\frac{29}{64} = 4689.453125$$