Solve 6*288/3-144*36/9*2-96*36/3*2+48*6^3/9*3+frac{8*3}{9}-frac{4*6^4}{9*4}=

$$\frac { 6 \cdot 288 } { 3 } - \frac { 144 \cdot 36 } { 9 \cdot 2 } - \frac { 96 \cdot 36 } { 3 \cdot 2 } + \frac { 48 \cdot 6 ^ { 3 } } { 9 \cdot 3 } + \frac { 8 \cdot 3 } { 9 } - \frac { 4 \cdot 6 ^ { 4 } } { 9 \cdot 4 } =$$

Evaluate

$$-\frac{136}{3}\approx -45.333333333$$

Solution Steps

Multiply 6 and 288 to get 1728.

$$\frac{1728}{3}-\frac{144\times 36}{9\times 2}-\frac{96\times 36}{3\times 2}+\frac{48\times 6^{3}}{9\times 3}+\frac{8\times 3}{9}-\frac{4\times 6^{4}}{9\times 4}$$

Divide 1728 by 3 to get 576.

$$576-\frac{144\times 36}{9\times 2}-\frac{96\times 36}{3\times 2}+\frac{48\times 6^{3}}{9\times 3}+\frac{8\times 3}{9}-\frac{4\times 6^{4}}{9\times 4}$$

Cancel out 2\times 9 in both numerator and denominator.

$$576-8\times 36-\frac{96\times 36}{3\times 2}+\frac{48\times 6^{3}}{9\times 3}+\frac{8\times 3}{9}-\frac{4\times 6^{4}}{9\times 4}$$

Multiply 8 and 36 to get 288.

$$576-288-\frac{96\times 36}{3\times 2}+\frac{48\times 6^{3}}{9\times 3}+\frac{8\times 3}{9}-\frac{4\times 6^{4}}{9\times 4}$$

Subtract 288 from 576 to get 288.

$$288-\frac{96\times 36}{3\times 2}+\frac{48\times 6^{3}}{9\times 3}+\frac{8\times 3}{9}-\frac{4\times 6^{4}}{9\times 4}$$

Cancel out 2\times 3 in both numerator and denominator.

$$288-16\times 36+\frac{48\times 6^{3}}{9\times 3}+\frac{8\times 3}{9}-\frac{4\times 6^{4}}{9\times 4}$$

Multiply 16 and 36 to get 576.

$$288-576+\frac{48\times 6^{3}}{9\times 3}+\frac{8\times 3}{9}-\frac{4\times 6^{4}}{9\times 4}$$

Subtract 576 from 288 to get -288.

$$-288+\frac{48\times 6^{3}}{9\times 3}+\frac{8\times 3}{9}-\frac{4\times 6^{4}}{9\times 4}$$

Cancel out 3 in both numerator and denominator.

$$-288+\frac{16\times 6^{3}}{3\times 3}+\frac{8\times 3}{9}-\frac{4\times 6^{4}}{9\times 4}$$

Calculate 6 to the power of 3 and get 216.

$$-288+\frac{16\times 216}{3\times 3}+\frac{8\times 3}{9}-\frac{4\times 6^{4}}{9\times 4}$$

Multiply 16 and 216 to get 3456.

$$-288+\frac{3456}{3\times 3}+\frac{8\times 3}{9}-\frac{4\times 6^{4}}{9\times 4}$$

Multiply 3 and 3 to get 9.

$$-288+\frac{3456}{9}+\frac{8\times 3}{9}-\frac{4\times 6^{4}}{9\times 4}$$

Divide 3456 by 9 to get 384.

$$-288+384+\frac{8\times 3}{9}-\frac{4\times 6^{4}}{9\times 4}$$

Add -288 and 384 to get 96.

$$96+\frac{8\times 3}{9}-\frac{4\times 6^{4}}{9\times 4}$$

Multiply 8 and 3 to get 24.

$$96+\frac{24}{9}-\frac{4\times 6^{4}}{9\times 4}$$

Reduce the fraction \frac{24}{9} to lowest terms by extracting and canceling out 3.

$$96+\frac{8}{3}-\frac{4\times 6^{4}}{9\times 4}$$

Convert 96 to fraction \frac{288}{3}.

$$\frac{288}{3}+\frac{8}{3}-\frac{4\times 6^{4}}{9\times 4}$$

Since \frac{288}{3} and \frac{8}{3} have the same denominator, add them by adding their numerators.

$$\frac{288+8}{3}-\frac{4\times 6^{4}}{9\times 4}$$

Add 288 and 8 to get 296.

$$\frac{296}{3}-\frac{4\times 6^{4}}{9\times 4}$$

Cancel out 4 in both numerator and denominator.

$$\frac{296}{3}-\frac{6^{4}}{9}$$

Calculate 6 to the power of 4 and get 1296.

$$\frac{296}{3}-\frac{1296}{9}$$

Divide 1296 by 9 to get 144.

$$\frac{296}{3}-144$$

Convert 144 to fraction \frac{432}{3}.

$$\frac{296}{3}-\frac{432}{3}$$

Since \frac{296}{3} and \frac{432}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{296-432}{3}$$

Subtract 432 from 296 to get -136.

$$-\frac{136}{3}$$

Factor

$$-\frac{136}{3} = -45\frac{1}{3} = -45.333333333333336$$