Solve (2/5)^9*125/8

$$( \frac { 2 } { 5 } ) ^ { 9 } \times \frac { 125 } { 8 }$$

Evaluate

$$\frac{64}{15625}=0.004096$$

Solution Steps

Calculate \frac{2}{5} to the power of 9 and get \frac{512}{1953125}.

$$\frac{512}{1953125}\times \frac{125}{8}$$

Multiply \frac{512}{1953125} times \frac{125}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{512\times 125}{1953125\times 8}$$

Do the multiplications in the fraction \frac{512\times 125}{1953125\times 8}.

$$\frac{64000}{15625000}$$

Reduce the fraction \frac{64000}{15625000} to lowest terms by extracting and canceling out 1000.

$$\frac{64}{15625}$$

Factor

$$\frac{2 ^ {6}}{5 ^ {6}} = 0.004096$$