Solve 2*4^4-1/12*4^6

$$2 \cdot 4 ^ { 4 } - \frac { 1 } { 12 } \cdot 4 ^ { 6 }$$

Evaluate

$$\frac{512}{3}\approx 170.666666667$$

Solution Steps

Calculate 4 to the power of 4 and get 256.

$$2\times 256-\frac{1}{12}\times 4^{6}$$

Multiply 2 and 256 to get 512.

$$512-\frac{1}{12}\times 4^{6}$$

Calculate 4 to the power of 6 and get 4096.

$$512-\frac{1}{12}\times 4096$$

Multiply \frac{1}{12} and 4096 to get \frac{4096}{12}.

$$512-\frac{4096}{12}$$

Reduce the fraction \frac{4096}{12} to lowest terms by extracting and canceling out 4.

$$512-\frac{1024}{3}$$

Convert 512 to fraction \frac{1536}{3}.

$$\frac{1536}{3}-\frac{1024}{3}$$

Since \frac{1536}{3} and \frac{1024}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1536-1024}{3}$$

Subtract 1024 from 1536 to get 512.

$$\frac{512}{3}$$

Factor

$$\frac{2 ^ {9}}{3} = 170\frac{2}{3} = 170.66666666666666$$