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

$$\frac { 2 ^ { 7 } \cdot 2 \cdot 2 ^ { 4 } } { 2 ^ { 6 } \cdot 2 ^ { 3 } }$$

Evaluate

$$8$$

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

$$\frac{2^{12}}{2^{9}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 9 from 12 to get 3.

$$2^{3}$$

Calculate 2 to the power of 3 and get 8.

$$8$$

Factor

$$2^{3}$$