Solve (5^2)^9*(5^0)^4

$$( 5 ^ { 2 } ) ^ { 9 } \times ( 5 ^ { 0 } ) ^ { 4 }$$

Evaluate

$$3814697265625$$

Solution Steps

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

$$5^{18}\times \left(5^{0}\right)^{4}$$

To raise a power to another power, multiply the exponents. Multiply 0 and 4 to get 0.

$$5^{18}\times 5^{0}$$

To multiply powers of the same base, add their exponents. Add 18 and 0 to get 18.

$$5^{18}$$

Calculate 5 to the power of 18 and get 3814697265625.

$$3814697265625$$

Factor

$$5^{18}$$