Solve -1^4-(1-05)*2^3/3div[-2-(-3)^2]

$$- 1 ^ { 4 } - ( 1 - 05 ) \times \frac { 2 ^ { 3 } } { 3 } \div [ - 2 - ( - 3 ) ^ { 2 } ]$$

Evaluate

$$-\frac{25}{33}\approx -0.757575758$$

Solution Steps

Calculate 1 to the power of 4 and get 1.

$$-1-\frac{\left(1-0\times 5\right)\times \frac{2^{3}}{3}}{-2-\left(-3\right)^{2}}$$

Multiply 0 and 5 to get 0.

$$-1-\frac{\left(1-0\right)\times \frac{2^{3}}{3}}{-2-\left(-3\right)^{2}}$$

Subtract 0 from 1 to get 1.

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

Calculate 2 to the power of 3 and get 8.

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

Multiply 1 and \frac{8}{3} to get \frac{8}{3}.

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

Calculate -3 to the power of 2 and get 9.

$$-1-\frac{\frac{8}{3}}{-2-9}$$

Subtract 9 from -2 to get -11.

$$-1-\frac{\frac{8}{3}}{-11}$$

Express \frac{\frac{8}{3}}{-11} as a single fraction.

$$-1-\frac{8}{3\left(-11\right)}$$

Multiply 3 and -11 to get -33.

$$-1-\frac{8}{-33}$$

Fraction \frac{8}{-33} can be rewritten as -\frac{8}{33} by extracting the negative sign.

$$-1-\left(-\frac{8}{33}\right)$$

The opposite of -\frac{8}{33} is \frac{8}{33}.

$$-1+\frac{8}{33}$$

Convert -1 to fraction -\frac{33}{33}.

$$-\frac{33}{33}+\frac{8}{33}$$

Since -\frac{33}{33} and \frac{8}{33} have the same denominator, add them by adding their numerators.

$$\frac{-33+8}{33}$$

Add -33 and 8 to get -25.

$$-\frac{25}{33}$$

Factor

$$-\frac{25}{33} = -0.7575757575757576$$