Solve 6000*(1+3.5^4/100)

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

Evaluate

$$15003.75$$

Solution Steps

Calculate 3.5 to the power of 4 and get 150.0625.

$$6000\left(1+\frac{150.0625}{100}\right)$$

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

$$6000\left(1+\frac{1500625}{1000000}\right)$$

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

$$6000\left(1+\frac{2401}{1600}\right)$$

Convert 1 to fraction \frac{1600}{1600}.

$$6000\left(\frac{1600}{1600}+\frac{2401}{1600}\right)$$

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

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

Add 1600 and 2401 to get 4001.

$$6000\times \frac{4001}{1600}$$

Express 6000\times \frac{4001}{1600} as a single fraction.

$$\frac{6000\times 4001}{1600}$$

Multiply 6000 and 4001 to get 24006000.

$$\frac{24006000}{1600}$$

Reduce the fraction \frac{24006000}{1600} to lowest terms by extracting and canceling out 400.

$$\frac{60015}{4}$$

Factor

$$\frac{3 \cdot 5 \cdot 4001}{2 ^ {2}} = 15003\frac{3}{4} = 15003.75$$