Solve 2^2*2^2*2^2*2^2*2

$$2 ^ { 2 } \cdot 2 ^ { 2 } \cdot 2 ^ { 2 } \cdot 2 ^ { 2 } \cdot 2$$

Evaluate

$$512$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$2^{4}\times 2^{2}\times 2^{2}\times 2$$

To multiply powers of the same base, add their exponents. Add 4 and 2 to get 6.

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

To multiply powers of the same base, add their exponents. Add 6 and 2 to get 8.

$$2^{8}\times 2$$

To multiply powers of the same base, add their exponents. Add 8 and 1 to get 9.

$$2^{9}$$

Calculate 2 to the power of 9 and get 512.

$$512$$

Factor

$$2^{9}$$