Solve 3^5/5+36*3^3/3-12*3^4/4

$$\frac { 3 ^ { 5 } } { 5 } + \frac { 36 \cdot 3 ^ { 3 } } { 3 } - \frac { 12 \cdot 3 ^ { 4 } } { 4 }$$

Evaluate

$$\frac{648}{5}=129.6$$

Solution Steps

Calculate 3 to the power of 5 and get 243.

$$\frac{243}{5}+\frac{36\times 3^{3}}{3}-\frac{12\times 3^{4}}{4}$$

Calculate 3 to the power of 3 and get 27.

$$\frac{243}{5}+\frac{36\times 27}{3}-\frac{12\times 3^{4}}{4}$$

Multiply 36 and 27 to get 972.

$$\frac{243}{5}+\frac{972}{3}-\frac{12\times 3^{4}}{4}$$

Divide 972 by 3 to get 324.

$$\frac{243}{5}+324-\frac{12\times 3^{4}}{4}$$

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

$$\frac{243}{5}+\frac{1620}{5}-\frac{12\times 3^{4}}{4}$$

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

$$\frac{243+1620}{5}-\frac{12\times 3^{4}}{4}$$

Add 243 and 1620 to get 1863.

$$\frac{1863}{5}-\frac{12\times 3^{4}}{4}$$

Calculate 3 to the power of 4 and get 81.

$$\frac{1863}{5}-\frac{12\times 81}{4}$$

Multiply 12 and 81 to get 972.

$$\frac{1863}{5}-\frac{972}{4}$$

Divide 972 by 4 to get 243.

$$\frac{1863}{5}-243$$

Convert 243 to fraction \frac{1215}{5}.

$$\frac{1863}{5}-\frac{1215}{5}$$

Since \frac{1863}{5} and \frac{1215}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1863-1215}{5}$$

Subtract 1215 from 1863 to get 648.

$$\frac{648}{5}$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {4}}{5} = 129\frac{3}{5} = 129.6$$