Solve (4^2)^3(4^3)^4

$$( 4 ^ { 2 } ) ^ { 3 } ( 4 ^ { 3 } ) ^ { 4 }$$

Evaluate

$$68719476736$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.

$$4^{6}\times \left(4^{3}\right)^{4}$$

To raise a power to another power, multiply the exponents. Multiply 3 and 4 to get 12.

$$4^{6}\times 4^{12}$$

To multiply powers of the same base, add their exponents. Add 6 and 12 to get 18.

$$4^{18}$$

Calculate 4 to the power of 18 and get 68719476736.

$$68719476736$$

Factor

$$2^{36}$$