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

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

Evaluate

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

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 3 from 4 to get 1.

$$\left(\frac{1}{2}\right)^{1}\times \left(\frac{1}{2}\right)^{2}$$

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$\left(\frac{1}{2}\right)^{3}$$

Calculate \frac{1}{2} to the power of 3 and get \frac{1}{8}.

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

Factor

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