Solve 2^frac{5{3}}*2^frac{1{3}}*-3/2

$$2 ^ { \frac { 5 } { 3 } } \times 2 ^ { \frac { 1 } { 3 } } \times \frac { - 3 } { 2 }$$

Evaluate

$$-6$$

Solution Steps

To multiply powers of the same base, add their exponents. Add \frac{5}{3} and \frac{1}{3} to get 2.

$$2^{2}\times \frac{-3}{2}$$

Calculate 2 to the power of 2 and get 4.

$$4\times \frac{-3}{2}$$

Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.

$$4\left(-\frac{3}{2}\right)$$

Multiply 4 and -\frac{3}{2} to get -6.

$$-6$$

Factor

$$-6$$