Solve (81/3*3^3)-(15*3^2)+(9*3)

$$(8 \frac{ 1 }{ 3 } \times { 3 }^{ 3 } )-(15 \times { 3 }^{ 2 } )+(9 \times 3)$$

Evaluate

$$117$$

Solution Steps

Multiply 8 and 3 to get 24.

$$\frac{24+1}{3}\times 3^{3}-15\times 3^{2}+9\times 3$$

Add 24 and 1 to get 25.

$$\frac{25}{3}\times 3^{3}-15\times 3^{2}+9\times 3$$

Calculate 3 to the power of 3 and get 27.

$$\frac{25}{3}\times 27-15\times 3^{2}+9\times 3$$

Express \frac{25}{3}\times 27 as a single fraction.

$$\frac{25\times 27}{3}-15\times 3^{2}+9\times 3$$

Multiply 25 and 27 to get 675.

$$\frac{675}{3}-15\times 3^{2}+9\times 3$$

Divide 675 by 3 to get 225.

$$225-15\times 3^{2}+9\times 3$$

Calculate 3 to the power of 2 and get 9.

$$225-15\times 9+9\times 3$$

Multiply 15 and 9 to get 135.

$$225-135+9\times 3$$

Subtract 135 from 225 to get 90.

$$90+9\times 3$$

Multiply 9 and 3 to get 27.

$$90+27$$

Add 90 and 27 to get 117.

$$117$$

Factor

$$3^{2}\times 13$$