Solve 12*(1-0.4^6/0.6)

$$12 \times ( \frac{ 1- { 0.4 }^{ 6 } }{ 0.6 } )$$

Evaluate

$$19.91808$$

Solution Steps

Calculate 0.4 to the power of 6 and get 0.004096.

$$12\times \frac{1-0.004096}{0.6}$$

Subtract 0.004096 from 1 to get 0.995904.

$$12\times \frac{0.995904}{0.6}$$

Expand \frac{0.995904}{0.6} by multiplying both numerator and the denominator by 1000000.

$$12\times \frac{995904}{600000}$$

Reduce the fraction \frac{995904}{600000} to lowest terms by extracting and canceling out 192.

$$12\times \frac{5187}{3125}$$

Express 12\times \frac{5187}{3125} as a single fraction.

$$\frac{12\times 5187}{3125}$$

Multiply 12 and 5187 to get 62244.

$$\frac{62244}{3125}$$

Factor

$$\frac{7 \cdot 13 \cdot 19 \cdot 2 ^ {2} \cdot 3 ^ {2}}{5 ^ {5}} = 19\frac{2869}{3125} = 19.91808$$