Solve 3^5/5+36*3^3/3-22*3^4/4

$$\frac { 3 ^ { 5 } } { 5 } + \frac { 36 \cdot 3 ^ { 3 } } { 3 } - \frac { 22 \cdot 3 ^ { 4 } } { 4 }$$

Evaluate

$$-\frac{729}{10}=-72.9$$

Solution Steps

Calculate 3 to the power of 5 and get 243.

$$\frac{243}{5}+\frac{36\times 3^{3}}{3}-\frac{22\times 3^{4}}{4}$$

Calculate 3 to the power of 3 and get 27.

$$\frac{243}{5}+\frac{36\times 27}{3}-\frac{22\times 3^{4}}{4}$$

Multiply 36 and 27 to get 972.

$$\frac{243}{5}+\frac{972}{3}-\frac{22\times 3^{4}}{4}$$

Divide 972 by 3 to get 324.

$$\frac{243}{5}+324-\frac{22\times 3^{4}}{4}$$

Convert 324 to fraction \frac{1620}{5}.

$$\frac{243}{5}+\frac{1620}{5}-\frac{22\times 3^{4}}{4}$$

Since \frac{243}{5} and \frac{1620}{5} have the same denominator, add them by adding their numerators.

$$\frac{243+1620}{5}-\frac{22\times 3^{4}}{4}$$

Add 243 and 1620 to get 1863.

$$\frac{1863}{5}-\frac{22\times 3^{4}}{4}$$

Calculate 3 to the power of 4 and get 81.

$$\frac{1863}{5}-\frac{22\times 81}{4}$$

Multiply 22 and 81 to get 1782.

$$\frac{1863}{5}-\frac{1782}{4}$$

Reduce the fraction \frac{1782}{4} to lowest terms by extracting and canceling out 2.

$$\frac{1863}{5}-\frac{891}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{1863}{5} and \frac{891}{2} to fractions with denominator 10.

$$\frac{3726}{10}-\frac{4455}{10}$$

Since \frac{3726}{10} and \frac{4455}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3726-4455}{10}$$

Subtract 4455 from 3726 to get -729.

$$-\frac{729}{10}$$

Factor

$$-\frac{729}{10} = -72\frac{9}{10} = -72.9$$