Solve -1^4-left(1-0.5right)1/3left(2--3^2right)

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

Evaluate

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

Solution Steps

Calculate 1 to the power of 4 and get 1.

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

Subtract 0.5 from 1 to get 0.5.

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

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.

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

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

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

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

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

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

$$-1-\frac{1}{6}\left(2-9\right)$$

Subtract 9 from 2 to get -7.

$$-1-\frac{1}{6}\left(-7\right)$$

Multiply \frac{1}{6} and -7 to get \frac{-7}{6}.

$$-1-\frac{-7}{6}$$

Fraction \frac{-7}{6} can be rewritten as -\frac{7}{6} by extracting the negative sign.

$$-1-\left(-\frac{7}{6}\right)$$

The opposite of -\frac{7}{6} is \frac{7}{6}.

$$-1+\frac{7}{6}$$

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

$$-\frac{6}{6}+\frac{7}{6}$$

Since -\frac{6}{6} and \frac{7}{6} have the same denominator, add them by adding their numerators.

$$\frac{-6+7}{6}$$

Add -6 and 7 to get 1.

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

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$