Solve 6000*1+3.5^4/100

$$6000 \cdot 1+ \frac{ { 3.5 }^{ 4 } }{ 100 }$$

Evaluate

$$6001.500625$$

Solution Steps

Multiply 6000 and 1 to get 6000.

$$6000+\frac{3.5^{4}}{100}$$

Calculate 3.5 to the power of 4 and get 150.0625.

$$6000+\frac{150.0625}{100}$$

Expand \frac{150.0625}{100} by multiplying both numerator and the denominator by 10000.

$$6000+\frac{1500625}{1000000}$$

Reduce the fraction \frac{1500625}{1000000} to lowest terms by extracting and canceling out 625.

$$6000+\frac{2401}{1600}$$

Convert 6000 to fraction \frac{9600000}{1600}.

$$\frac{9600000}{1600}+\frac{2401}{1600}$$

Since \frac{9600000}{1600} and \frac{2401}{1600} have the same denominator, add them by adding their numerators.

$$\frac{9600000+2401}{1600}$$

Add 9600000 and 2401 to get 9602401.

$$\frac{9602401}{1600}$$

Factor

$$\frac{113 \cdot 84977}{2 ^ {6} \cdot 5 ^ {2}} = 6001\frac{801}{1600} = 6001.500625$$