Solve left(6^26^2right)^5^2

$${ \left( { 6 }^{ 2 } { 6 }^{ 2 } \right) }^{ { 5 }^{ 2 } }$$

Evaluate

$$653318623500070906096690267158057820537143710472954871543071966369497141477376$$

Solution Steps

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

$$\left(6^{4}\right)^{5^{2}}$$

Calculate 6 to the power of 4 and get 1296.

$$1296^{5^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$1296^{25}$$

Calculate 1296 to the power of 25 and get 653318623500070906096690267158057820537143710472954871543071966369497141477376.

$$653318623500070906096690267158057820537143710472954871543071966369497141477376$$

Factor

$$2^{100}\times 3^{100}$$