Solve [(2^{3}*5-2^3*3):2^3+7]^3:3^3

$$[ ( 2 ^ { 3 } \times 5 - 2 ^ { 3 } \times 3 ) : 2 ^ { 3 } + 7 ] ^ { 3 } : 3 ^ { 3 }$$

Evaluate

$$27$$

Solution Steps

Calculate 2 to the power of 3 and get 8.

$$\frac{\left(\frac{8\times 5-2^{3}\times 3}{2^{3}}+7\right)^{3}}{3^{3}}$$

Multiply 8 and 5 to get 40.

$$\frac{\left(\frac{40-2^{3}\times 3}{2^{3}}+7\right)^{3}}{3^{3}}$$

Calculate 2 to the power of 3 and get 8.

$$\frac{\left(\frac{40-8\times 3}{2^{3}}+7\right)^{3}}{3^{3}}$$

Multiply 8 and 3 to get 24.

$$\frac{\left(\frac{40-24}{2^{3}}+7\right)^{3}}{3^{3}}$$

Subtract 24 from 40 to get 16.

$$\frac{\left(\frac{16}{2^{3}}+7\right)^{3}}{3^{3}}$$

Calculate 2 to the power of 3 and get 8.

$$\frac{\left(\frac{16}{8}+7\right)^{3}}{3^{3}}$$

Divide 16 by 8 to get 2.

$$\frac{\left(2+7\right)^{3}}{3^{3}}$$

Add 2 and 7 to get 9.

$$\frac{9^{3}}{3^{3}}$$

Calculate 9 to the power of 3 and get 729.

$$\frac{729}{3^{3}}$$

Calculate 3 to the power of 3 and get 27.

$$\frac{729}{27}$$

Divide 729 by 27 to get 27.

$$27$$

Factor

$$3^{3}$$