Solve frac{{2}^frac{-3{2}}}{{2}^frac{-1{2}}}=

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

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.

$$\frac{2^{-\frac{3}{2}}}{2^{\frac{-1}{2}}}$$

Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

$$\frac{2^{-\frac{3}{2}}}{2^{-\frac{1}{2}}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

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

Calculate 2 to the power of 1 and get 2.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$