Solve 2(-8+9)+4(-6)^3div(-2)^8(-6)=

$$2 ( - 8 + 9 ) + 4 ( - 6 ) ^ { 3 } \div ( - 2 ) ^ { 8 } ( - 6 ) =$$

Evaluate

$$\frac{89}{4}=22.25$$

Solution Steps

Add -8 and 9 to get 1.

$$2\times 1+\frac{4\left(-6\right)^{3}}{\left(-2\right)^{8}}\left(-6\right)$$

Multiply 2 and 1 to get 2.

$$2+\frac{4\left(-6\right)^{3}}{\left(-2\right)^{8}}\left(-6\right)$$

Calculate -6 to the power of 3 and get -216.

$$2+\frac{4\left(-216\right)}{\left(-2\right)^{8}}\left(-6\right)$$

Multiply 4 and -216 to get -864.

$$2+\frac{-864}{\left(-2\right)^{8}}\left(-6\right)$$

Calculate -2 to the power of 8 and get 256.

$$2+\frac{-864}{256}\left(-6\right)$$

Reduce the fraction \frac{-864}{256} to lowest terms by extracting and canceling out 32.

$$2-\frac{27}{8}\left(-6\right)$$

Express -\frac{27}{8}\left(-6\right) as a single fraction.

$$2+\frac{-27\left(-6\right)}{8}$$

Multiply -27 and -6 to get 162.

$$2+\frac{162}{8}$$

Reduce the fraction \frac{162}{8} to lowest terms by extracting and canceling out 2.

$$2+\frac{81}{4}$$

Convert 2 to fraction \frac{8}{4}.

$$\frac{8}{4}+\frac{81}{4}$$

Since \frac{8}{4} and \frac{81}{4} have the same denominator, add them by adding their numerators.

$$\frac{8+81}{4}$$

Add 8 and 81 to get 89.

$$\frac{89}{4}$$

Factor

$$\frac{89}{2 ^ {2}} = 22\frac{1}{4} = 22.25$$