Solve 1/64*7*(50*10^-3)^4

$$\frac { 1 } { 64 } \times 7 \times ( 50 \times 10 ^ { - 3 } ) ^ { 4 }$$

Evaluate

$$\frac{7}{10240000}\approx 0.000000684$$

Solution Steps

Multiply \frac{1}{64} and 7 to get \frac{7}{64}.

$$\frac{7}{64}\times \left(50\times 10^{-3}\right)^{4}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{7}{64}\times \left(50\times \frac{1}{1000}\right)^{4}$$

Multiply 50 and \frac{1}{1000} to get \frac{1}{20}.

$$\frac{7}{64}\times \left(\frac{1}{20}\right)^{4}$$

Calculate \frac{1}{20} to the power of 4 and get \frac{1}{160000}.

$$\frac{7}{64}\times \frac{1}{160000}$$

Multiply \frac{7}{64} and \frac{1}{160000} to get \frac{7}{10240000}.

$$\frac{7}{10240000}$$

Factor

$$\frac{7}{2 ^ {14} \cdot 5 ^ {4}} = 6.8359375 \times 10^{-7}$$