Solve {l}{2X(-2)^-1-3}{div(-1/2)^-3}

$$\left. \begin{array} { l } { 2 X ( - 2 ) ^ { - 1 } - 3 } \\ { \div ( - \frac { 1 } { 2 } ) ^ { - 3 } } \end{array} \right.$$

Evaluate

$$\frac{3}{8}-X$$

Solution Steps

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

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

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

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

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

$$-X-\frac{3}{-8}$$

Fraction \frac{3}{-8} can be rewritten as -\frac{3}{8} by extracting the negative sign.

$$-X-\left(-\frac{3}{8}\right)$$

The opposite of -\frac{3}{8} is \frac{3}{8}.

$$-X+\frac{3}{8}$$

Factor

$$\frac{3-8X}{8}$$

Solution Steps

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

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

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

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

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

$$factor(-X-\frac{3}{-8})$$

Fraction \frac{3}{-8} can be rewritten as -\frac{3}{8} by extracting the negative sign.

$$factor(-X-\left(-\frac{3}{8}\right))$$

The opposite of -\frac{3}{8} is \frac{3}{8}.

$$factor(-X+\frac{3}{8})$$

Factor out \frac{1}{8}.

$$\frac{-8X+3}{8}$$