### Home > APCALC > Chapter 3 > Lesson 3.2.1 > Problem3-42

3-42.

Rewrite each of the following expressions in the form of $x^n$.

1. $\sqrt { x }$

The exponent, $n$, will be a fraction.

1. $\large\frac { 1 } { x ^ { 3 } }$

The exponent, $n$, will be negative.

1. $\sqrt { \frac { 1 } { x } }$

Combine hints from part (a) and part (b).

1. $x \cdot \sqrt [ 3 ] { x ^ { 2 } }$

Recall that $x=x^1=x^{\frac{3}{3}}$

$x^{\frac{5}{3}}$