Solve 14000(1*0.04/3)^6

$$14000 ( 1 \times \frac { 0.04 } { 3 } ) ^ { 6 }$$

Evaluate

$$\frac{112}{1423828125}\approx 0.000000079$$

Solution Steps

Expand \frac{0.04}{3} by multiplying both numerator and the denominator by 100.

$$14000\times \left(1\times \frac{4}{300}\right)^{6}$$

Reduce the fraction \frac{4}{300} to lowest terms by extracting and canceling out 4.

$$14000\times \left(1\times \frac{1}{75}\right)^{6}$$

Multiply 1 and \frac{1}{75} to get \frac{1}{75}.

$$14000\times \left(\frac{1}{75}\right)^{6}$$

Calculate \frac{1}{75} to the power of 6 and get \frac{1}{177978515625}.

$$14000\times \frac{1}{177978515625}$$

Multiply 14000 and \frac{1}{177978515625} to get \frac{112}{1423828125}.

$$\frac{112}{1423828125}$$

Factor

$$\frac{7 \cdot 2 ^ {4}}{3 ^ {6} \cdot 5 ^ {9}} = 7.866117969821673 \times 10^{-8}$$