Question

WILL AWARD BRAINLISET! PLUS SHOW WORK PLEASE! :)

Use the rules of exponents to write an equivalent expression for each of the following.

1. $x^{ \frac{1}{2} }$ * $x^{ \frac{3}{2} }$

2. $x^{ \frac{2}{3} }$ / $x^{ \frac{7}{6} }$

3. ($2x^{ \frac{1}{2} }$)²

4. ($(16x^{ \frac{4}{3} }) ^{ \frac{1}{2} }$

Answer 1

1. x^2

2. x^-1/2 or 1/x^1/2

3. 4x

4. 4x^2/3

Answer 2

See attached images describing the steps in calculating, or other ways to express them.