Solve 2^7*2*2^4div2^6*2^3

$$2 ^ { 7 } \times 2 \times 2 ^ { 4 } \div 2 ^ { 6 } \times 2 ^ { 3 }$$

Evaluate

$$512$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 7 and 1 to get 8.

$$\frac{2^{8}\times 2^{4}}{2^{6}}\times 2^{3}$$

To multiply powers of the same base, add their exponents. Add 8 and 4 to get 12.

$$\frac{2^{12}}{2^{6}}\times 2^{3}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 6 from 12 to get 6.

$$2^{6}\times 2^{3}$$

To multiply powers of the same base, add their exponents. Add 6 and 3 to get 9.

$$2^{9}$$

Calculate 2 to the power of 9 and get 512.

$$512$$

Factor

$$2^{9}$$