Solve -1^4-(1-0.5)*1/3*[4-(-3)^2]

$$- 1 ^ { 4 } - ( 1 - 0.5 ) \times \frac { 1 } { 3 } \times [ 4 - ( - 3 ) ^ { 2 } ]$$

Evaluate

$$-\frac{1}{6}\approx -0.166666667$$

Solution Steps

Calculate 1 to the power of 4 and get 1.

$$-1-\left(1-0.5\right)\times \frac{1}{3}\left(4-\left(-3\right)^{2}\right)$$

Subtract 0.5 from 1 to get 0.5.

$$-1-0.5\times \frac{1}{3}\left(4-\left(-3\right)^{2}\right)$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

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

Multiply \frac{1}{2} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\times 1}{2\times 3}.

$$-1-\frac{1}{6}\left(4-\left(-3\right)^{2}\right)$$

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

$$-1-\frac{1}{6}\left(4-9\right)$$

Subtract 9 from 4 to get -5.

$$-1-\frac{1}{6}\left(-5\right)$$

Multiply \frac{1}{6} and -5 to get \frac{-5}{6}.

$$-1-\frac{-5}{6}$$

Fraction \frac{-5}{6} can be rewritten as -\frac{5}{6} by extracting the negative sign.

$$-1-\left(-\frac{5}{6}\right)$$

The opposite of -\frac{5}{6} is \frac{5}{6}.

$$-1+\frac{5}{6}$$

Convert -1 to fraction -\frac{6}{6}.

$$-\frac{6}{6}+\frac{5}{6}$$

Since -\frac{6}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$\frac{-6+5}{6}$$

Add -6 and 5 to get -1.

$$-\frac{1}{6}$$

Factor

$$-\frac{1}{6} = -0.16666666666666666$$