Solve 512*8/frac{50*10^3{2*10^8}}

$$\frac { 512 \times 8 } { \frac { 50 \times 10 ^ { 3 } } { 2 \times 10 ^ { 8 } } }$$

Evaluate

$$16384000$$

Solution Steps

Multiply 512 and 8 to get 4096.

$$\frac{4096}{\frac{50\times 10^{3}}{2\times 10^{8}}}$$

Cancel out 2\times 10^{3} in both numerator and denominator.

$$\frac{4096}{\frac{25}{10^{5}}}$$

Calculate 10 to the power of 5 and get 100000.

$$\frac{4096}{\frac{25}{100000}}$$

Reduce the fraction \frac{25}{100000} to lowest terms by extracting and canceling out 25.

$$\frac{4096}{\frac{1}{4000}}$$

Divide 4096 by \frac{1}{4000} by multiplying 4096 by the reciprocal of \frac{1}{4000}.

$$4096\times 4000$$

Multiply 4096 and 4000 to get 16384000.

$$16384000$$

Factor

$$2^{17}\times 5^{3}$$