Solve {left(4/16right)}^2{left(1/10right)}^5

$${ \left( \frac{ 4 }{ 16 } \right) }^{ 2 } { \left( \frac{ 1 }{ 10 } \right) }^{ 5 }$$

Evaluate

$$\frac{1}{1600000}=0.000000625$$

Solution Steps

Reduce the fraction \frac{4}{16} to lowest terms by extracting and canceling out 4.

$$\left(\frac{1}{4}\right)^{2}\times \left(\frac{1}{10}\right)^{5}$$

Calculate \frac{1}{4} to the power of 2 and get \frac{1}{16}.

$$\frac{1}{16}\times \left(\frac{1}{10}\right)^{5}$$

Calculate \frac{1}{10} to the power of 5 and get \frac{1}{100000}.

$$\frac{1}{16}\times \frac{1}{100000}$$

Multiply \frac{1}{16} and \frac{1}{100000} to get \frac{1}{1600000}.

$$\frac{1}{1600000}$$

Factor

$$\frac{1}{2 ^ {9} \cdot 5 ^ {5}} = 6.250000000000001 \times 10^{-7}$$