Solve 2^frac{3{2}}*2^frac{4{3}}div2^frac{5{6}}

$$2 ^ { \frac { 3 } { 2 } } \times 2 ^ { \frac { 4 } { 3 } } \div 2 ^ { \frac { 5 } { 6 } }$$

Evaluate

$$4$$

Solution Steps

To multiply powers of the same base, add their exponents. Add \frac{3}{2} and \frac{4}{3} to get \frac{17}{6}.

$$\frac{2^{\frac{17}{6}}}{2^{\frac{5}{6}}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract \frac{5}{6} from \frac{17}{6} to get 2.

$$2^{2}$$

Calculate 2 to the power of 2 and get 4.

$$4$$

Factor

$$2^{2}$$