Solve 2^{2}*2^3*2^4*2^5*2^6*2

$$2 ^ { 2 } \cdot 2 ^ { 3 } \cdot 2 ^ { 4 } \cdot 2 ^ { 5 } \cdot 2 ^ { 6 } \cdot 2$$

Evaluate

$$2097152$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 3 to get 5.

$$2^{5}\times 2^{4}\times 2^{5}\times 2^{6}\times 2$$

To multiply powers of the same base, add their exponents. Add 5 and 4 to get 9.

$$2^{9}\times 2^{5}\times 2^{6}\times 2$$

To multiply powers of the same base, add their exponents. Add 9 and 5 to get 14.

$$2^{14}\times 2^{6}\times 2$$

To multiply powers of the same base, add their exponents. Add 14 and 6 to get 20.

$$2^{20}\times 2$$

To multiply powers of the same base, add their exponents. Add 20 and 1 to get 21.

$$2^{21}$$

Calculate 2 to the power of 21 and get 2097152.

$$2097152$$

Factor

$$2^{21}$$