Solve 2^10*4^10*(1/8)^11

$$2 ^ { 10 } \times 4 ^ { 10 } \times ( \frac { 1 } { 8 } ) ^ { 11 }$$

Evaluate

$$\frac{1}{8}=0.125$$

Solution Steps

Calculate 2 to the power of 10 and get 1024.

$$1024\times 4^{10}\times \left(\frac{1}{8}\right)^{11}$$

Calculate 4 to the power of 10 and get 1048576.

$$1024\times 1048576\times \left(\frac{1}{8}\right)^{11}$$

Multiply 1024 and 1048576 to get 1073741824.

$$1073741824\times \left(\frac{1}{8}\right)^{11}$$

Calculate \frac{1}{8} to the power of 11 and get \frac{1}{8589934592}.

$$1073741824\times \frac{1}{8589934592}$$

Multiply 1073741824 and \frac{1}{8589934592} to get \frac{1073741824}{8589934592}.

$$\frac{1073741824}{8589934592}$$

Reduce the fraction \frac{1073741824}{8589934592} to lowest terms by extracting and canceling out 1073741824.

$$\frac{1}{8}$$

Factor

$$\frac{1}{2 ^ {3}} = 0.125$$