Solve 4^2*4^3*4*(4^2)*2=

$$4 ^ { 2 } \cdot 4 ^ { 3 } \cdot 4 \cdot ( 4 ^ { 2 } ) \cdot 2 =$$

Evaluate

$$131072$$

Solution Steps

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

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

To multiply powers of the same base, add their exponents. Add 5 and 1 to get 6.

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

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

$$4^{8}\times 2$$

Calculate 4 to the power of 8 and get 65536.

$$65536\times 2$$

Multiply 65536 and 2 to get 131072.

$$131072$$

Factor

$$2^{17}$$