Solve 4/4*10^6(256-x)*16

$$\frac { 4 } { 4 \times 10 ^ { 6 } } ( 256 - x ) \times 16$$

Evaluate

$$-\frac{x}{62500}+\frac{64}{15625}$$

Solution Steps

Calculate 10 to the power of 6 and get 1000000.

$$\frac{4}{4\times 1000000}\left(256-x\right)\times 16$$

Multiply 4 and 1000000 to get 4000000.

$$\frac{4}{4000000}\left(256-x\right)\times 16$$

Reduce the fraction \frac{4}{4000000} to lowest terms by extracting and canceling out 4.

$$\frac{1}{1000000}\left(256-x\right)\times 16$$

Multiply \frac{1}{1000000} and 16 to get \frac{16}{1000000}.

$$\frac{16}{1000000}\left(256-x\right)$$

Reduce the fraction \frac{16}{1000000} to lowest terms by extracting and canceling out 16.

$$\frac{1}{62500}\left(256-x\right)$$

Use the distributive property to multiply \frac{1}{62500} by 256-x.

$$\frac{1}{62500}\times 256+\frac{1}{62500}\left(-1\right)x$$

Multiply \frac{1}{62500} and 256 to get \frac{256}{62500}.

$$\frac{256}{62500}+\frac{1}{62500}\left(-1\right)x$$

Reduce the fraction \frac{256}{62500} to lowest terms by extracting and canceling out 4.

$$\frac{64}{15625}+\frac{1}{62500}\left(-1\right)x$$

Multiply \frac{1}{62500} and -1 to get -\frac{1}{62500}.

$$\frac{64}{15625}-\frac{1}{62500}x$$

Expand

$$-\frac{x}{62500}+\frac{64}{15625}$$

Solution Steps

Calculate 10 to the power of 6 and get 1000000.

$$\frac{4}{4\times 1000000}\left(256-x\right)\times 16$$

Multiply 4 and 1000000 to get 4000000.

$$\frac{4}{4000000}\left(256-x\right)\times 16$$

Reduce the fraction \frac{4}{4000000} to lowest terms by extracting and canceling out 4.

$$\frac{1}{1000000}\left(256-x\right)\times 16$$

Multiply \frac{1}{1000000} and 16 to get \frac{16}{1000000}.

$$\frac{16}{1000000}\left(256-x\right)$$

Reduce the fraction \frac{16}{1000000} to lowest terms by extracting and canceling out 16.

$$\frac{1}{62500}\left(256-x\right)$$

Use the distributive property to multiply \frac{1}{62500} by 256-x.

$$\frac{1}{62500}\times 256+\frac{1}{62500}\left(-1\right)x$$

Multiply \frac{1}{62500} and 256 to get \frac{256}{62500}.

$$\frac{256}{62500}+\frac{1}{62500}\left(-1\right)x$$

Reduce the fraction \frac{256}{62500} to lowest terms by extracting and canceling out 4.

$$\frac{64}{15625}+\frac{1}{62500}\left(-1\right)x$$

Multiply \frac{1}{62500} and -1 to get -\frac{1}{62500}.

$$\frac{64}{15625}-\frac{1}{62500}x$$