Solve 2500*{left(15/100right)}^4

$$2500 \times { \left(1 \frac{ 5 }{ 100 } \right) }^{ 4 }$$

Evaluate

$$\frac{194481}{64}=3038.765625$$

Solution Steps

Multiply 1 and 100 to get 100.

$$2500\times \left(\frac{100+5}{100}\right)^{4}$$

Add 100 and 5 to get 105.

$$2500\times \left(\frac{105}{100}\right)^{4}$$

Reduce the fraction \frac{105}{100} to lowest terms by extracting and canceling out 5.

$$2500\times \left(\frac{21}{20}\right)^{4}$$

Calculate \frac{21}{20} to the power of 4 and get \frac{194481}{160000}.

$$2500\times \frac{194481}{160000}$$

Multiply 2500 and \frac{194481}{160000} to get \frac{194481}{64}.

$$\frac{194481}{64}$$

Factor

$$\frac{3 ^ {4} \cdot 7 ^ {4}}{2 ^ {6}} = 3038\frac{49}{64} = 3038.765625$$