Solve (10^2)^4+(2^2)^3=

$$( 10 ^ { 2 } ) ^ { 4 } + ( 2 ^ { 2 } ) ^ { 3 } =$$

Evaluate

$$100000064$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 4 to get 8.

$$10^{8}+\left(2^{2}\right)^{3}$$

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

$$10^{8}+2^{6}$$

Calculate 10 to the power of 8 and get 100000000.

$$100000000+2^{6}$$

Calculate 2 to the power of 6 and get 64.

$$100000000+64$$

Add 100000000 and 64 to get 100000064.

$$100000064$$

Factor

$$2^{6}\times 1201\times 1301$$