Solve frac{2^{7}*2^{5}*2^{3}*2^0}{2*2^3*2^5*2^6}=

$$\frac { 2 ^ { 7 } \cdot 2 ^ { 5 } \cdot 2 ^ { 3 } \cdot 2 ^ { 0 } } { 2 \cdot 2 ^ { 3 } \cdot 2 ^ { 5 } \cdot 2 ^ { 6 } } =$$

Evaluate

$$1$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 7 and 5 to get 12.

$$\frac{2^{12}\times 2^{3}\times 2^{0}}{2\times 2^{3}\times 2^{5}\times 2^{6}}$$

To multiply powers of the same base, add their exponents. Add 12 and 3 to get 15.

$$\frac{2^{15}\times 2^{0}}{2\times 2^{3}\times 2^{5}\times 2^{6}}$$

To multiply powers of the same base, add their exponents. Add 15 and 0 to get 15.

$$\frac{2^{15}}{2\times 2^{3}\times 2^{5}\times 2^{6}}$$

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

$$\frac{2^{15}}{2^{4}\times 2^{5}\times 2^{6}}$$

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

$$\frac{2^{15}}{2^{9}\times 2^{6}}$$

To multiply powers of the same base, add their exponents. Add 9 and 6 to get 15.

$$\frac{2^{15}}{2^{15}}$$

Divide 2^{15} by 2^{15} to get 1.

$$1$$

Factor

$$1$$