Solve -1/2*{4}^frac{-3{2}}

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

Evaluate

$$-\frac{1}{16}=-0.0625$$

Solution Steps

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

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

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

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

Calculate 4 to the power of -\frac{3}{2} and get \frac{1}{8}.

$$-\frac{1}{2}\times \frac{1}{8}$$

Multiply -\frac{1}{2} and \frac{1}{8} to get -\frac{1}{16}.

$$-\frac{1}{16}$$

Factor

$$-\frac{1}{16} = -0.0625$$