Solve 3^4/4-4*3^2/3+2*3^2+3

$$\frac{ { 3 }^{ 4 } }{ 4 } - \frac{ 4 \times { 3 }^{ 2 } }{ 3 } +2 \times { 3 }^{ 2 } +3$$

Evaluate

$$\frac{117}{4}=29.25$$

Solution Steps

Calculate 3 to the power of 4 and get 81.

$$\frac{81}{4}-\frac{4\times 3^{2}}{3}+2\times 3^{2}+3$$

Calculate 3 to the power of 2 and get 9.

$$\frac{81}{4}-\frac{4\times 9}{3}+2\times 3^{2}+3$$

Multiply 4 and 9 to get 36.

$$\frac{81}{4}-\frac{36}{3}+2\times 3^{2}+3$$

Divide 36 by 3 to get 12.

$$\frac{81}{4}-12+2\times 3^{2}+3$$

Convert 12 to fraction \frac{48}{4}.

$$\frac{81}{4}-\frac{48}{4}+2\times 3^{2}+3$$

Since \frac{81}{4} and \frac{48}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{81-48}{4}+2\times 3^{2}+3$$

Subtract 48 from 81 to get 33.

$$\frac{33}{4}+2\times 3^{2}+3$$

Calculate 3 to the power of 2 and get 9.

$$\frac{33}{4}+2\times 9+3$$

Multiply 2 and 9 to get 18.

$$\frac{33}{4}+18+3$$

Convert 18 to fraction \frac{72}{4}.

$$\frac{33}{4}+\frac{72}{4}+3$$

Since \frac{33}{4} and \frac{72}{4} have the same denominator, add them by adding their numerators.

$$\frac{33+72}{4}+3$$

Add 33 and 72 to get 105.

$$\frac{105}{4}+3$$

Convert 3 to fraction \frac{12}{4}.

$$\frac{105}{4}+\frac{12}{4}$$

Since \frac{105}{4} and \frac{12}{4} have the same denominator, add them by adding their numerators.

$$\frac{105+12}{4}$$

Add 105 and 12 to get 117.

$$\frac{117}{4}$$

Factor

$$\frac{3 ^ {2} \cdot 13}{2 ^ {2}} = 29\frac{1}{4} = 29.25$$