Solve 1/5*(4/5)^11*12

$$\frac { 1 } { 5 } \times ( \frac { 4 } { 5 } ) ^ { 11 } \times 12$$

Evaluate

$$\frac{50331648}{244140625}\approx 0.20615843$$

Solution Steps

Calculate \frac{4}{5} to the power of 11 and get \frac{4194304}{48828125}.

$$\frac{1}{5}\times \frac{4194304}{48828125}\times 12$$

Multiply \frac{1}{5} times \frac{4194304}{48828125} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 4194304}{5\times 48828125}\times 12$$

Do the multiplications in the fraction \frac{1\times 4194304}{5\times 48828125}.

$$\frac{4194304}{244140625}\times 12$$

Express \frac{4194304}{244140625}\times 12 as a single fraction.

$$\frac{4194304\times 12}{244140625}$$

Multiply 4194304 and 12 to get 50331648.

$$\frac{50331648}{244140625}$$

Factor

$$\frac{2 ^ {24} \cdot 3}{5 ^ {12}} = 0.206158430208$$