Solve 5*(5^30*5^20)^2

$$5 \times ( 5 ^ { 30 } \times 5 ^ { 20 } ) ^ { 2 }$$

Evaluate

$$39443045261050590270586428264139311483660321755451150238513946533203125$$

Solution Steps

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

$$5\times \left(5^{50}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 50 and 2 to get 100.

$$5\times 5^{100}$$

To multiply powers of the same base, add their exponents. Add 1 and 100 to get 101.

$$5^{101}$$

Calculate 5 to the power of 101 and get 39443045261050590270586428264139311483660321755451150238513946533203125.

$$39443045261050590270586428264139311483660321755451150238513946533203125$$

Factor

$$5^{101}$$