Solve (2^2)^3*(10^3)^2

$$( 2 ^ { 2 } ) ^ { 3 } \times ( 10 ^ { 3 } ) ^ { 2 }$$

Evaluate

$$64000000$$

Solution Steps

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

$$2^{6}\times \left(10^{3}\right)^{2}$$

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

$$2^{6}\times 10^{6}$$

Calculate 2 to the power of 6 and get 64.

$$64\times 10^{6}$$

Calculate 10 to the power of 6 and get 1000000.

$$64\times 1000000$$

Multiply 64 and 1000000 to get 64000000.

$$64000000$$

Factor

$$2^{12}\times 5^{6}$$