Solve 1-2^2+31+(216div(-2)^3div(-9^2))-4^2*(-3)=

$$1 - 2 ^ { 2 } + 31 + ( 216 \div ( - 2 ) ^ { 3 } \div ( - 9 ^ { 2 } ) ) - 4 ^ { 2 } \times ( - 3 ) =$$

Evaluate

$$\frac{229}{3}\approx 76.333333333$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$1-4+31+\frac{\frac{216}{\left(-2\right)^{3}}}{-9^{2}}-4^{2}\left(-3\right)$$

Subtract 4 from 1 to get -3.

$$-3+31+\frac{\frac{216}{\left(-2\right)^{3}}}{-9^{2}}-4^{2}\left(-3\right)$$

Add -3 and 31 to get 28.

$$28+\frac{\frac{216}{\left(-2\right)^{3}}}{-9^{2}}-4^{2}\left(-3\right)$$

Calculate -2 to the power of 3 and get -8.

$$28+\frac{\frac{216}{-8}}{-9^{2}}-4^{2}\left(-3\right)$$

Divide 216 by -8 to get -27.

$$28+\frac{-27}{-9^{2}}-4^{2}\left(-3\right)$$

Calculate 9 to the power of 2 and get 81.

$$28+\frac{-27}{-81}-4^{2}\left(-3\right)$$

Reduce the fraction \frac{-27}{-81} to lowest terms by extracting and canceling out -27.

$$28+\frac{1}{3}-4^{2}\left(-3\right)$$

Convert 28 to fraction \frac{84}{3}.

$$\frac{84}{3}+\frac{1}{3}-4^{2}\left(-3\right)$$

Since \frac{84}{3} and \frac{1}{3} have the same denominator, add them by adding their numerators.

$$\frac{84+1}{3}-4^{2}\left(-3\right)$$

Add 84 and 1 to get 85.

$$\frac{85}{3}-4^{2}\left(-3\right)$$

Calculate 4 to the power of 2 and get 16.

$$\frac{85}{3}-16\left(-3\right)$$

Multiply 16 and -3 to get -48.

$$\frac{85}{3}-\left(-48\right)$$

The opposite of -48 is 48.

$$\frac{85}{3}+48$$

Convert 48 to fraction \frac{144}{3}.

$$\frac{85}{3}+\frac{144}{3}$$

Since \frac{85}{3} and \frac{144}{3} have the same denominator, add them by adding their numerators.

$$\frac{85+144}{3}$$

Add 85 and 144 to get 229.

$$\frac{229}{3}$$

Factor

$$\frac{229}{3} = 76\frac{1}{3} = 76.33333333333333$$