Solve 2^3*2^5/2*2^4

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

Evaluate

$$8$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 5 to get 8.

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

To multiply powers of the same base, add their exponents. Add 1 and 4 to get 5.

$$\frac{2^{8}}{2^{5}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 5 from 8 to get 3.

$$2^{3}$$

Calculate 2 to the power of 3 and get 8.

$$8$$

Factor

$$2^{3}$$