Solve (5^5)^3*(5^4)^8

$$( 5 ^ { 5 } ) ^ { 3 } \times ( 5 ^ { 4 } ) ^ { 8 }$$

Evaluate

$$710542735760100185871124267578125$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 5 and 3 to get 15.

$$5^{15}\times \left(5^{4}\right)^{8}$$

To raise a power to another power, multiply the exponents. Multiply 4 and 8 to get 32.

$$5^{15}\times 5^{32}$$

To multiply powers of the same base, add their exponents. Add 15 and 32 to get 47.

$$5^{47}$$

Calculate 5 to the power of 47 and get 710542735760100185871124267578125.

$$710542735760100185871124267578125$$

Factor

$$5^{47}$$