Solve 5^25^25^25^2{5}^{2}{552225}^{2}{5}^{2}{5}^{2}{5}^2{5}^2{5}^2{5}^2

$${ 5 }^{ 2 } { 5 }^{ 2 } { 5 }^{ 2 } { 5 }^{ 2 } { 5 }^{ 2 } { 552225 }^{ 2 } { 5 }^{ 2 } { 5 }^{ 2 } { 5 }^{ 2 } { 5 }^{ 2 } { 5 }^{ 2 } { 5 }^{ 2 }$$

Evaluate

$$727063299715518951416015625$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$5^{4}\times 5^{2}\times 5^{2}\times 5^{2}\times 552225^{2}\times 5^{2}\times 5^{2}\times 5^{2}\times 5^{2}\times 5^{2}\times 5^{2}$$

To multiply powers of the same base, add their exponents. Add 4 and 2 to get 6.

$$5^{6}\times 5^{2}\times 5^{2}\times 552225^{2}\times 5^{2}\times 5^{2}\times 5^{2}\times 5^{2}\times 5^{2}\times 5^{2}$$

To multiply powers of the same base, add their exponents. Add 6 and 2 to get 8.

$$5^{8}\times 5^{2}\times 552225^{2}\times 5^{2}\times 5^{2}\times 5^{2}\times 5^{2}\times 5^{2}\times 5^{2}$$

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

$$5^{10}\times 552225^{2}\times 5^{2}\times 5^{2}\times 5^{2}\times 5^{2}\times 5^{2}\times 5^{2}$$

To multiply powers of the same base, add their exponents. Add 10 and 2 to get 12.

$$5^{12}\times 552225^{2}\times 5^{2}\times 5^{2}\times 5^{2}\times 5^{2}\times 5^{2}$$

To multiply powers of the same base, add their exponents. Add 12 and 2 to get 14.

$$5^{14}\times 552225^{2}\times 5^{2}\times 5^{2}\times 5^{2}\times 5^{2}$$

To multiply powers of the same base, add their exponents. Add 14 and 2 to get 16.

$$5^{16}\times 552225^{2}\times 5^{2}\times 5^{2}\times 5^{2}$$

To multiply powers of the same base, add their exponents. Add 16 and 2 to get 18.

$$5^{18}\times 552225^{2}\times 5^{2}\times 5^{2}$$

To multiply powers of the same base, add their exponents. Add 18 and 2 to get 20.

$$5^{20}\times 552225^{2}\times 5^{2}$$

To multiply powers of the same base, add their exponents. Add 20 and 2 to get 22.

$$5^{22}\times 552225^{2}$$

Calculate 5 to the power of 22 and get 2384185791015625.

$$2384185791015625\times 552225^{2}$$

Calculate 552225 to the power of 2 and get 304952450625.

$$2384185791015625\times 304952450625$$

Multiply 2384185791015625 and 304952450625 to get 727063299715518951416015625.

$$727063299715518951416015625$$

Factor

$$3^{2}\times 5^{26}\times 37^{2}\times 199^{2}$$