Solve -1^2-{left(-1/2right)}^3div4

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

Evaluate

$$-\frac{31}{32}=-0.96875$$

Solution Steps

Calculate 1 to the power of 2 and get 1.

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

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

$$-1-\frac{-\frac{1}{8}}{4}$$

Express \frac{-\frac{1}{8}}{4} as a single fraction.

$$-1-\frac{-1}{8\times 4}$$

Multiply 8 and 4 to get 32.

$$-1-\frac{-1}{32}$$

Fraction \frac{-1}{32} can be rewritten as -\frac{1}{32} by extracting the negative sign.

$$-1-\left(-\frac{1}{32}\right)$$

The opposite of -\frac{1}{32} is \frac{1}{32}.

$$-1+\frac{1}{32}$$

Convert -1 to fraction -\frac{32}{32}.

$$-\frac{32}{32}+\frac{1}{32}$$

Since -\frac{32}{32} and \frac{1}{32} have the same denominator, add them by adding their numerators.

$$\frac{-32+1}{32}$$

Add -32 and 1 to get -31.

$$-\frac{31}{32}$$

Factor

$$-\frac{31}{32} = -0.96875$$