Solve (2^10/10-2^8/4+2^6/6)x^3

$$( \frac { 2 ^ { 10 } } { 10 } - \frac { 2 ^ { 8 } } { 4 } + \frac { 2 ^ { 6 } } { 6 } ) x ^ { 3 }$$

Evaluate

$$\frac{736x^{3}}{15}$$

Solution Steps

Calculate 2 to the power of 10 and get 1024.

$$\left(\frac{1024}{10}-\frac{2^{8}}{4}+\frac{2^{6}}{6}\right)x^{3}$$

Reduce the fraction \frac{1024}{10} to lowest terms by extracting and canceling out 2.

$$\left(\frac{512}{5}-\frac{2^{8}}{4}+\frac{2^{6}}{6}\right)x^{3}$$

Calculate 2 to the power of 8 and get 256.

$$\left(\frac{512}{5}-\frac{256}{4}+\frac{2^{6}}{6}\right)x^{3}$$

Divide 256 by 4 to get 64.

$$\left(\frac{512}{5}-64+\frac{2^{6}}{6}\right)x^{3}$$

Subtract 64 from \frac{512}{5} to get \frac{192}{5}.

$$\left(\frac{192}{5}+\frac{2^{6}}{6}\right)x^{3}$$

Calculate 2 to the power of 6 and get 64.

$$\left(\frac{192}{5}+\frac{64}{6}\right)x^{3}$$

Reduce the fraction \frac{64}{6} to lowest terms by extracting and canceling out 2.

$$\left(\frac{192}{5}+\frac{32}{3}\right)x^{3}$$

Add \frac{192}{5} and \frac{32}{3} to get \frac{736}{15}.

$$\frac{736}{15}x^{3}$$

Expand

$$\frac{736x^{3}}{15}$$

Solution Steps

Calculate 2 to the power of 10 and get 1024.

$$\left(\frac{1024}{10}-\frac{2^{8}}{4}+\frac{2^{6}}{6}\right)x^{3}$$

Reduce the fraction \frac{1024}{10} to lowest terms by extracting and canceling out 2.

$$\left(\frac{512}{5}-\frac{2^{8}}{4}+\frac{2^{6}}{6}\right)x^{3}$$

Calculate 2 to the power of 8 and get 256.

$$\left(\frac{512}{5}-\frac{256}{4}+\frac{2^{6}}{6}\right)x^{3}$$

Divide 256 by 4 to get 64.

$$\left(\frac{512}{5}-64+\frac{2^{6}}{6}\right)x^{3}$$

Subtract 64 from \frac{512}{5} to get \frac{192}{5}.

$$\left(\frac{192}{5}+\frac{2^{6}}{6}\right)x^{3}$$

Calculate 2 to the power of 6 and get 64.

$$\left(\frac{192}{5}+\frac{64}{6}\right)x^{3}$$

Reduce the fraction \frac{64}{6} to lowest terms by extracting and canceling out 2.

$$\left(\frac{192}{5}+\frac{32}{3}\right)x^{3}$$

Add \frac{192}{5} and \frac{32}{3} to get \frac{736}{15}.

$$\frac{736}{15}x^{3}$$