Solve 42/128/frac{7{2^-3}7/2^-4}

$$\frac{ \frac{ 42 }{ 128 } }{ \frac{ 7 }{ { 2 }^{ -3 } } \frac{ 7 }{ { 2 }^{ -4 } } }$$

Evaluate

$$\frac{3}{57344}\approx 0.000052316$$

Solution Steps

Reduce the fraction \frac{42}{128} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{21}{64}}{\frac{7}{2^{-3}}\times \frac{7}{2^{-4}}}$$

Calculate 2 to the power of -3 and get \frac{1}{8}.

$$\frac{\frac{21}{64}}{\frac{7}{\frac{1}{8}}\times \frac{7}{2^{-4}}}$$

Divide 7 by \frac{1}{8} by multiplying 7 by the reciprocal of \frac{1}{8}.

$$\frac{\frac{21}{64}}{7\times 8\times \frac{7}{2^{-4}}}$$

Multiply 7 and 8 to get 56.

$$\frac{\frac{21}{64}}{56\times \frac{7}{2^{-4}}}$$

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

$$\frac{\frac{21}{64}}{56\times \frac{7}{\frac{1}{16}}}$$

Divide 7 by \frac{1}{16} by multiplying 7 by the reciprocal of \frac{1}{16}.

$$\frac{\frac{21}{64}}{56\times 7\times 16}$$

Multiply 7 and 16 to get 112.

$$\frac{\frac{21}{64}}{56\times 112}$$

Multiply 56 and 112 to get 6272.

$$\frac{\frac{21}{64}}{6272}$$

Express \frac{\frac{21}{64}}{6272} as a single fraction.

$$\frac{21}{64\times 6272}$$

Multiply 64 and 6272 to get 401408.

$$\frac{21}{401408}$$

Reduce the fraction \frac{21}{401408} to lowest terms by extracting and canceling out 7.

$$\frac{3}{57344}$$

Factor

$$\frac{3}{2 ^ {13} \cdot 7} = 5.23158482142857 \times 10^{-5}$$