Solve 64000(1+{left(12.5/100right)}^3

$$64000(1+ { \left( \frac{ 12.5 }{ 100 } \right) }^{ 3 }$$

Evaluate

$$64125$$

Solution Steps

Expand \frac{12.5}{100} by multiplying both numerator and the denominator by 10.

$$64000\left(1+\left(\frac{125}{1000}\right)^{3}\right)$$

Reduce the fraction \frac{125}{1000} to lowest terms by extracting and canceling out 125.

$$64000\left(1+\left(\frac{1}{8}\right)^{3}\right)$$

Calculate \frac{1}{8} to the power of 3 and get \frac{1}{512}.

$$64000\left(1+\frac{1}{512}\right)$$

Add 1 and \frac{1}{512} to get \frac{513}{512}.

$$64000\times \frac{513}{512}$$

Multiply 64000 and \frac{513}{512} to get 64125.

$$64125$$

Factor

$$19\times 3^{3}\times 5^{3}$$