Solve 73^{2}div3*5^{2}+2+3^{3}+6^3-5^3-2^4-11^2

$$73 ^ { 2 } \div 3 \times 5 ^ { 2 } + 2 + 3 ^ { 3 } + 6 ^ { 3 } - 5 ^ { 3 } - 2 ^ { 4 } - 11 ^ { 2 }$$

Evaluate

$$\frac{133174}{3}\approx 44391.333333333$$

Solution Steps

Calculate 73 to the power of 2 and get 5329.

$$\frac{5329}{3}\times 5^{2}+2+3^{3}+6^{3}-5^{3}-2^{4}-11^{2}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{5329}{3}\times 25+2+3^{3}+6^{3}-5^{3}-2^{4}-11^{2}$$

Express \frac{5329}{3}\times 25 as a single fraction.

$$\frac{5329\times 25}{3}+2+3^{3}+6^{3}-5^{3}-2^{4}-11^{2}$$

Multiply 5329 and 25 to get 133225.

$$\frac{133225}{3}+2+3^{3}+6^{3}-5^{3}-2^{4}-11^{2}$$

Convert 2 to fraction \frac{6}{3}.

$$\frac{133225}{3}+\frac{6}{3}+3^{3}+6^{3}-5^{3}-2^{4}-11^{2}$$

Since \frac{133225}{3} and \frac{6}{3} have the same denominator, add them by adding their numerators.

$$\frac{133225+6}{3}+3^{3}+6^{3}-5^{3}-2^{4}-11^{2}$$

Add 133225 and 6 to get 133231.

$$\frac{133231}{3}+3^{3}+6^{3}-5^{3}-2^{4}-11^{2}$$

Calculate 3 to the power of 3 and get 27.

$$\frac{133231}{3}+27+6^{3}-5^{3}-2^{4}-11^{2}$$

Convert 27 to fraction \frac{81}{3}.

$$\frac{133231}{3}+\frac{81}{3}+6^{3}-5^{3}-2^{4}-11^{2}$$

Since \frac{133231}{3} and \frac{81}{3} have the same denominator, add them by adding their numerators.

$$\frac{133231+81}{3}+6^{3}-5^{3}-2^{4}-11^{2}$$

Add 133231 and 81 to get 133312.

$$\frac{133312}{3}+6^{3}-5^{3}-2^{4}-11^{2}$$

Calculate 6 to the power of 3 and get 216.

$$\frac{133312}{3}+216-5^{3}-2^{4}-11^{2}$$

Convert 216 to fraction \frac{648}{3}.

$$\frac{133312}{3}+\frac{648}{3}-5^{3}-2^{4}-11^{2}$$

Since \frac{133312}{3} and \frac{648}{3} have the same denominator, add them by adding their numerators.

$$\frac{133312+648}{3}-5^{3}-2^{4}-11^{2}$$

Add 133312 and 648 to get 133960.

$$\frac{133960}{3}-5^{3}-2^{4}-11^{2}$$

Calculate 5 to the power of 3 and get 125.

$$\frac{133960}{3}-125-2^{4}-11^{2}$$

Convert 125 to fraction \frac{375}{3}.

$$\frac{133960}{3}-\frac{375}{3}-2^{4}-11^{2}$$

Since \frac{133960}{3} and \frac{375}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{133960-375}{3}-2^{4}-11^{2}$$

Subtract 375 from 133960 to get 133585.

$$\frac{133585}{3}-2^{4}-11^{2}$$

Calculate 2 to the power of 4 and get 16.

$$\frac{133585}{3}-16-11^{2}$$

Convert 16 to fraction \frac{48}{3}.

$$\frac{133585}{3}-\frac{48}{3}-11^{2}$$

Since \frac{133585}{3} and \frac{48}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{133585-48}{3}-11^{2}$$

Subtract 48 from 133585 to get 133537.

$$\frac{133537}{3}-11^{2}$$

Calculate 11 to the power of 2 and get 121.

$$\frac{133537}{3}-121$$

Convert 121 to fraction \frac{363}{3}.

$$\frac{133537}{3}-\frac{363}{3}$$

Since \frac{133537}{3} and \frac{363}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{133537-363}{3}$$

Subtract 363 from 133537 to get 133174.

$$\frac{133174}{3}$$

Factor

$$\frac{2 \cdot 66587}{3} = 44391\frac{1}{3} = 44391.333333333336$$