Solve (3*11^{5}*132^{2}*3*7^2*11^3)3^3*7*11^2

$$( 3 \times 11 ^ { 5 } \times 132 ^ { 2 } \times 3 \times 7 ^ { 2 } \times 11 ^ { 3 } ) 3 ^ { 3 } \times 7 \times 11 ^ { 2 }$$

Evaluate

$$37668220815069882576$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

$$3^{4}\times 11^{5}\times 132^{2}\times 3\times 7^{2}\times 11^{3}\times 7\times 11^{2}$$

To multiply powers of the same base, add their exponents. Add 5 and 3 to get 8.

$$3^{4}\times 11^{8}\times 132^{2}\times 3\times 7^{2}\times 7\times 11^{2}$$

To multiply powers of the same base, add their exponents. Add 8 and 2 to get 10.

$$3^{4}\times 11^{10}\times 132^{2}\times 3\times 7^{2}\times 7$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$3^{4}\times 11^{10}\times 132^{2}\times 3\times 7^{3}$$

Calculate 3 to the power of 4 and get 81.

$$81\times 11^{10}\times 132^{2}\times 3\times 7^{3}$$

Calculate 11 to the power of 10 and get 25937424601.

$$81\times 25937424601\times 132^{2}\times 3\times 7^{3}$$

Multiply 81 and 25937424601 to get 2100931392681.

$$2100931392681\times 132^{2}\times 3\times 7^{3}$$

Calculate 132 to the power of 2 and get 17424.

$$2100931392681\times 17424\times 3\times 7^{3}$$

Multiply 2100931392681 and 17424 to get 36606628586073744.

$$36606628586073744\times 3\times 7^{3}$$

Multiply 36606628586073744 and 3 to get 109819885758221232.

$$109819885758221232\times 7^{3}$$

Calculate 7 to the power of 3 and get 343.

$$109819885758221232\times 343$$

Multiply 109819885758221232 and 343 to get 37668220815069882576.

$$37668220815069882576$$

Factor

$$2^{4}\times 3^{7}\times 7^{3}\times 11^{12}$$