Solve 5left(5^305^20right)^

$$5 { \left( { 5 }^{ 30 } { 5 }^{ 20 } \right) }^{ }$$

Evaluate

$$444089209850062616169452667236328125$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 30 and 20 to get 50.

$$5\times \left(5^{50}\right)^{1}$$

To raise a power to another power, multiply the exponents. Multiply 50 and 1 to get 50.

$$5\times 5^{50}$$

To multiply powers of the same base, add their exponents. Add 1 and 50 to get 51.

$$5^{51}$$

Calculate 5 to the power of 51 and get 444089209850062616169452667236328125.

$$444089209850062616169452667236328125$$

Factor

$$5^{51}$$