Solve (-2)^3*(-2)^7/3*4^6

$$\frac { ( - 2 ) ^ { 3 } \times ( - 2 ) ^ { 7 } } { 3 \times 4 ^ { 6 } }$$

Evaluate

$$\frac{1}{12}\approx 0.083333333$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 7 to get 10.

$$\frac{\left(-2\right)^{10}}{3\times 4^{6}}$$

Calculate -2 to the power of 10 and get 1024.

$$\frac{1024}{3\times 4^{6}}$$

Calculate 4 to the power of 6 and get 4096.

$$\frac{1024}{3\times 4096}$$

Multiply 3 and 4096 to get 12288.

$$\frac{1024}{12288}$$

Reduce the fraction \frac{1024}{12288} to lowest terms by extracting and canceling out 1024.

$$\frac{1}{12}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 3} = 0.08333333333333333$$