Solve (1.2)^frac{3{2}}(1.2)^frac{1{2}}

$$( 1.2 ) ^ { \frac { 3 } { 2 } } ( 1.2 ) ^ { \frac { 1 } { 2 } }$$

Evaluate

$$1.44$$

Solution Steps

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

$$1.2^{2}$$

Calculate 1.2 to the power of 2 and get 1.44.

$$1.44$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2}}{5 ^ {2}} = 1\frac{11}{25} = 1.44$$