### Home > A2C > Chapter 12 > Lesson 12.1.1 > Problem12-13

12-13.

What do you notice about the two problems below when you simplify them?

1. $\frac { x ^ { 1 / 2 } } { x ^ { - 3 / 2 } }$

Use properties of exponents to simplify.

$\small x^{\frac{1}{2}} \cdot x^{\frac{3}{2}}$

$\small x^{\frac{4}{2}}$

x2

1. $\sqrt { x } \div ( \frac { 1 } { \sqrt { x } } ) ^ { 3 }$

$\small x^{\frac{1}{2}}\div\left( x^{-\frac{1}{2}} \right)^3$

$\small \frac{x^{\frac{1}{2}}}{x^{-\frac{3}{2}}}$

See part (a).