Solve (1/2)^4(2)^3(4)^2

$$( \frac { 1 } { 2 } ) ^ { 4 } ( 2 ) ^ { 3 } ( 4 ) ^ { 2 }$$

Evaluate

$$8$$

Solution Steps

Calculate \frac{1}{2} to the power of 4 and get \frac{1}{16}.

$$\frac{1}{16}\times 2^{3}\times 4^{2}$$

Calculate 2 to the power of 3 and get 8.

$$\frac{1}{16}\times 8\times 4^{2}$$

Multiply \frac{1}{16} and 8 to get \frac{8}{16}.

$$\frac{8}{16}\times 4^{2}$$

Reduce the fraction \frac{8}{16} to lowest terms by extracting and canceling out 8.

$$\frac{1}{2}\times 4^{2}$$

Calculate 4 to the power of 2 and get 16.

$$\frac{1}{2}\times 16$$

Multiply \frac{1}{2} and 16 to get \frac{16}{2}.

$$\frac{16}{2}$$

Divide 16 by 2 to get 8.

$$8$$

Factor

$$2^{3}$$