Solve 2^{5}+5*2^{4}*3+10*2^{3}*3^{2}+10*2^2*3^3+5*2*3^4+3^3

$$2 ^ { 5 } + 5 \times 2 ^ { 4 } \times 3 + 10 \times 2 ^ { 3 } \times 3 ^ { 2 } + 10 \times 2 ^ { 2 } \times 3 ^ { 3 } + 5 \times 2 \times 3 ^ { 4 } + 3 ^ { 3 }$$

Evaluate

$$2909$$

Solution Steps

Calculate 2 to the power of 5 and get 32.

$$32+5\times 2^{4}\times 3+10\times 2^{3}\times 3^{2}+10\times 2^{2}\times 3^{3}+5\times 2\times 3^{4}+3^{3}$$

Calculate 2 to the power of 4 and get 16.

$$32+5\times 16\times 3+10\times 2^{3}\times 3^{2}+10\times 2^{2}\times 3^{3}+5\times 2\times 3^{4}+3^{3}$$

Multiply 5 and 16 to get 80.

$$32+80\times 3+10\times 2^{3}\times 3^{2}+10\times 2^{2}\times 3^{3}+5\times 2\times 3^{4}+3^{3}$$

Multiply 80 and 3 to get 240.

$$32+240+10\times 2^{3}\times 3^{2}+10\times 2^{2}\times 3^{3}+5\times 2\times 3^{4}+3^{3}$$

Add 32 and 240 to get 272.

$$272+10\times 2^{3}\times 3^{2}+10\times 2^{2}\times 3^{3}+5\times 2\times 3^{4}+3^{3}$$

Calculate 2 to the power of 3 and get 8.

$$272+10\times 8\times 3^{2}+10\times 2^{2}\times 3^{3}+5\times 2\times 3^{4}+3^{3}$$

Multiply 10 and 8 to get 80.

$$272+80\times 3^{2}+10\times 2^{2}\times 3^{3}+5\times 2\times 3^{4}+3^{3}$$

Calculate 3 to the power of 2 and get 9.

$$272+80\times 9+10\times 2^{2}\times 3^{3}+5\times 2\times 3^{4}+3^{3}$$

Multiply 80 and 9 to get 720.

$$272+720+10\times 2^{2}\times 3^{3}+5\times 2\times 3^{4}+3^{3}$$

Add 272 and 720 to get 992.

$$992+10\times 2^{2}\times 3^{3}+5\times 2\times 3^{4}+3^{3}$$

Calculate 2 to the power of 2 and get 4.

$$992+10\times 4\times 3^{3}+5\times 2\times 3^{4}+3^{3}$$

Multiply 10 and 4 to get 40.

$$992+40\times 3^{3}+5\times 2\times 3^{4}+3^{3}$$

Calculate 3 to the power of 3 and get 27.

$$992+40\times 27+5\times 2\times 3^{4}+3^{3}$$

Multiply 40 and 27 to get 1080.

$$992+1080+5\times 2\times 3^{4}+3^{3}$$

Add 992 and 1080 to get 2072.

$$2072+5\times 2\times 3^{4}+3^{3}$$

Multiply 5 and 2 to get 10.

$$2072+10\times 3^{4}+3^{3}$$

Calculate 3 to the power of 4 and get 81.

$$2072+10\times 81+3^{3}$$

Multiply 10 and 81 to get 810.

$$2072+810+3^{3}$$

Add 2072 and 810 to get 2882.

$$2882+3^{3}$$

Calculate 3 to the power of 3 and get 27.

$$2882+27$$

Add 2882 and 27 to get 2909.

$$2909$$

Factor

$$2909$$