Solve (32^2div128^4)div2048

$$( 32 ^ { 2 } \div 128 ^ { 4 } ) \div 2048$$

Evaluate

$$\frac{1}{536870912}=1.862645149 \cdot 10^{-9}$$

Solution Steps

Express \frac{\frac{32^{2}}{128^{4}}}{2048} as a single fraction.

$$\frac{32^{2}}{128^{4}\times 2048}$$

Calculate 32 to the power of 2 and get 1024.

$$\frac{1024}{128^{4}\times 2048}$$

Calculate 128 to the power of 4 and get 268435456.

$$\frac{1024}{268435456\times 2048}$$

Multiply 268435456 and 2048 to get 549755813888.

$$\frac{1024}{549755813888}$$

Reduce the fraction \frac{1024}{549755813888} to lowest terms by extracting and canceling out 1024.

$$\frac{1}{536870912}$$

Factor

$$\frac{1}{2 ^ {29}} = 1.8626451492309568 \times 10^{-9}$$