Solve (5^2)^9*(5^9)^4

$$( 5 ^ { 2 } ) ^ { 9 } \times ( 5 ^ { 9 } ) ^ { 4 }$$

Evaluate

$$55511151231257827021181583404541015625$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 9 to get 18.

$$5^{18}\times \left(5^{9}\right)^{4}$$

To raise a power to another power, multiply the exponents. Multiply 9 and 4 to get 36.

$$5^{18}\times 5^{36}$$

To multiply powers of the same base, add their exponents. Add 18 and 36 to get 54.

$$5^{54}$$

Calculate 5 to the power of 54 and get 55511151231257827021181583404541015625.

$$55511151231257827021181583404541015625$$

Factor

$$5^{54}$$