Solve 3^{2}*(2+1^3)^2*[2^5*5^6]=

$$3 ^ { 2 } \times ( 2 + 1 ^ { 3 } ) ^ { 2 } \times [ 2 ^ { 5 } \times 5 ^ { 6 } ] =$$

Evaluate

$$40500000$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$9\left(2+1^{3}\right)^{2}\times 2^{5}\times 5^{6}$$

Calculate 1 to the power of 3 and get 1.

$$9\left(2+1\right)^{2}\times 2^{5}\times 5^{6}$$

Add 2 and 1 to get 3.

$$9\times 3^{2}\times 2^{5}\times 5^{6}$$

Calculate 3 to the power of 2 and get 9.

$$9\times 9\times 2^{5}\times 5^{6}$$

Multiply 9 and 9 to get 81.

$$81\times 2^{5}\times 5^{6}$$

Calculate 2 to the power of 5 and get 32.

$$81\times 32\times 5^{6}$$

Multiply 81 and 32 to get 2592.

$$2592\times 5^{6}$$

Calculate 5 to the power of 6 and get 15625.

$$2592\times 15625$$

Multiply 2592 and 15625 to get 40500000.

$$40500000$$

Factor

$$2^{5}\times 3^{4}\times 5^{6}$$