Solve -1/2{left(16-12right)}^-frac{3{2}}left(8-3right)^

$$- \frac{ 1 }{ 2 } { \left(16-12 \right) }^{ - \frac{ 3 }{ 2 } } { \left(8-3 \right) }^{ }$$

Evaluate

$$-\frac{5}{16}=-0.3125$$

Solution Steps

Subtract 12 from 16 to get 4.

$$-\frac{1}{2}\times 4^{-\frac{3}{2}}\left(8-3\right)^{1}$$

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

$$-\frac{1}{2}\times \frac{1}{8}\left(8-3\right)^{1}$$

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

$$-\frac{1}{16}\left(8-3\right)^{1}$$

Subtract 3 from 8 to get 5.

$$-\frac{1}{16}\times 5^{1}$$

Calculate 5 to the power of 1 and get 5.

$$-\frac{1}{16}\times 5$$

Multiply -\frac{1}{16} and 5 to get -\frac{5}{16}.

$$-\frac{5}{16}$$

Factor

$$-\frac{5}{16} = -0.3125$$